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دسترسی آزاد مقاله
1 - تعیین جواب بهینه معادله ی کوپر- اشمیت با پیاده سازی روش های بسط پایه های ژاکوپی و ایرفویل
شادان صدیق بهزادی فاطمه گروه‌ای علی رفیعیدر این مقاله، معادله ی کوپر اشمیت را به روش هم محلی با پایه های ژاکوپی و ایرفویل، حل می کنیم. این معادله PDE یکی از معادلات مهم و پرکاربرد در فیزیک و شیمی است. این معادله غیرخطی درمهندسی مکانیک به صورت پدیده موج ظاهر شده، و در فیزیک پلاسما درباره سیستم‌هایی بحث می‌کند چکیده کاملدر این مقاله، معادله ی کوپر اشمیت را به روش هم محلی با پایه های ژاکوپی و ایرفویل، حل می کنیم. این معادله PDE یکی از معادلات مهم و پرکاربرد در فیزیک و شیمی است. این معادله غیرخطی درمهندسی مکانیک به صورت پدیده موج ظاهر شده، و در فیزیک پلاسما درباره سیستم‌هایی بحث می‌کند که از ذرّات باردار مثبت و منفی تشکیل شده‌اند و می‌توانند آزادانه حرکت کنند. مقایسه سطح تولیدات گرم الکترون و سطح آن باعث انتشار هارمونیک برخی از نشانه های منشاء می شود والکترون های گرما در پلاسما، به صورت کروی تابش می شوند [1]. معادله کوپر- اشمیت نقش مهمی در پراکندگی غیر خطی موج ایفا می کند. امواج انفرادی در پراکندگی غیر خطی رسانه ها پخش می شوند. این امواج یک فرم پایدار را حفظ می کنند. به دلیل تعادل پویا وغیر خطی بودن این معادله راه حل تقریبی در بسیاری از مقالات ارائه شده است [12و13].در این مقاله با پیاده سازی روش های عددی روی معادله مورد نظر، دستگاههای غیر خطی حاصل می شود که می توان آنها را با روش های حل دستگاههای غیرخطی، مثل روش تکراری نیوتن حل کرد. وجود، یکتایی جواب و همگرایی روشها مورد بررسی قرار می گیرد و در مثالی نشان خواهیم داد که با تکرار کم به معیار توقف |u_(n+1)-u_n |/|u_n | پرونده مقاله -
دسترسی آزاد مقاله
2 - ارائه دو مدل برای تحلیل عددی جواب معادلات دیفرانسیل-انتگرال کسری و مقایسه آنها
محمود بهروزی فردر این مقاله، دو مدل برای تحلیل عددی جواب معادلات دیفرانسیل-انتگرال کسری ارائه می دهیم و سپس به مقایسه نتایج بکارگیری آنها بر روی مسائل متنوع می پردازیم. برای این منظور ابتدا ماتریس‌های عملیاتی چند جمله‌ای‌های ژاکوبی را بیان کرده و سپس هر مسئله را با دو روش حل می‌نماییم چکیده کاملدر این مقاله، دو مدل برای تحلیل عددی جواب معادلات دیفرانسیل-انتگرال کسری ارائه می دهیم و سپس به مقایسه نتایج بکارگیری آنها بر روی مسائل متنوع می پردازیم. برای این منظور ابتدا ماتریس‌های عملیاتی چند جمله‌ای‌های ژاکوبی را بیان کرده و سپس هر مسئله را با دو روش حل می‌نماییم: روش ماتریس عملیاتی مشتق مرتبه کسری کاپوتو و روش ماتریس عملیاتی انتگرال مرتبه کسری ریمان-لیوویل. در هر دو روش با استفاده از تکنیک نقطه گذاری به یک دستگاه معادلات جبری خطی یا غیرخطی خواهیم رسید با کمک روش تکراری نیوتن حل می شوند. روشهای ارائه شده روی چند مثال پیاده سازی شده است و نتایج عددی حاصل بیانگر کارایی بالای هر دو روش است. لازم به ذکر است که تمامی محاسبات با کمک نرم افزار متمتیکا انجام شده است. نتایج عددی نشان می‌دهد که برای معادله دیفرانسیلی که جواب آن بصورت چند جمله ای می باشد بهتر است از روش اول و در معادله غیر خطی که جواب آن بصورت تابع متعالی است بهتر است که روش دوم استفاده شود. پرونده مقاله -
دسترسی آزاد مقاله
3 - روشی عددی برای حل معادلات انتگرال دو بعدی فردهلم خطی به کمک پایه‌های چندجمله‌ای بوبکر
فرشاد مهدی فر علی خانیدر این مقاله، روش هم‌محلی جدیدی، بر مبنای چندجمله‌ای‌های بوبکر، برای جواب‌های تقریبی رده‌ای از معادلات انتگرال دو بعدی فردهلم خطی نوع دوم معرفی کردهایم. خصوصیات توابع بوبکر دوبعدی بکار گرفته شده است. ماتریس اساسی انتگرال‌گیری به وسیله‌ی نقاط هم‌محلی برای کاهش فرم جواب چکیده کاملدر این مقاله، روش هم‌محلی جدیدی، بر مبنای چندجمله‌ای‌های بوبکر، برای جواب‌های تقریبی رده‌ای از معادلات انتگرال دو بعدی فردهلم خطی نوع دوم معرفی کردهایم. خصوصیات توابع بوبکر دوبعدی بکار گرفته شده است. ماتریس اساسی انتگرال‌گیری به وسیله‌ی نقاط هم‌محلی برای کاهش فرم جواب معادله‌ی انتگرالی به فرم جوابی از دستگاه معادلات جبری مورد استفاده قرار گرفته است. دقت جواب و تحلیل خطا به طور کاملاً دقیق و ساختاری مورد مطالعه قرار گرفته شده و تاکید شده است که روش پیشنهادی برای انواع معادلات انتگرال دو بعدی فردهلم خطی با هسته‌ی پیوسته از نوع چندجمله‌ای کاملاً دقیق و بدون خطا می‌باشد. از طرف دیگر، کمک گرفتن از نرم‌افزار ریاضی مِیپل باعث شده جوابِ ضرایب چند جمله ای بوبکر بسیار آسان محاسبه شود. همچنین، نتایج روش حاضر را با نتایج سایر روشهای موجود به جهت ارائه اعتبار، دقت و کارایی تکنیک مورد بررسی و مقایسه قرار داده‌ایم. پرونده مقاله -
دسترسی آزاد مقاله
4 - محاسبه ترازهای انرژی معادلات شرودینگر خطی به روش سینک
خدیجه نوروزی سید محمد علی آل عمرانی نژاد مهدی سلیمانی بهناز فرناممحاسبه انرژی­های معادله شرودینگر در فیزیک از اهمیت ویژه­ای برخوردار است. به عنوان مثال در محاسبه میزان جذب نور و میزان شکست نور در یک ماده، محاسبه انرژی­های گذار بین زیرنواری و انرژی­های گذار بین نواری، از ترازهای انرژی استفاده می­کنیم. همچنین، به کم چکیده کاملمحاسبه انرژی­های معادله شرودینگر در فیزیک از اهمیت ویژه­ای برخوردار است. به عنوان مثال در محاسبه میزان جذب نور و میزان شکست نور در یک ماده، محاسبه انرژی­های گذار بین زیرنواری و انرژی­های گذار بین نواری، از ترازهای انرژی استفاده می­کنیم. همچنین، به کمک ترازهای­های انرژی می­توان چگالی حالات یک سیستم فیزیکی را یافت و از روی آن به دلیل عایق، نیم رسانا و یا فلز بودن یک ماده پی­برد. روش­های زیادی در خصوص محاسبه ترازهای انرژی وجود دارد که هرکدام از نقاط ضعف و قدرتی برخوردارند. روش­های تکرار مجانبی، الگوریتم ژنتیک، نومروف، شبکه های عصبی، ماتریس انتقال و ... تعدادی از آنها می­باشند. محاسبه ترازهای انرژی به کمک توابع سینک، کمتر مورد توجه دانشمندان این حوزه بوده است. در این مقاله، کارایی روش هم محلی سینک در محاسبه این انرژی­ها را بررسی کرده­ایم. برای حل این مسائل، با استفاده از تقریب تابع مجهول به وسیله توابع سینک و به کمک روش هم محلی، مسئله را به یک مساله ویژه مقداری تبدیل می­کنیم. در ادامه با بیان مثال­هایی، دقت و سرعت این روش را با روش تفاضلات متناهی، که روشی رایج در بین فیزیکدانان است، مقایسه کرده­ایم. درنهایت، با توجه به جداول و محاسبات انجام شده، دقت و سرعت این روش در مقایسه با برخی از روش­ها، ثابت کرده­ایم. تمامی محاسبات با نرم افزار میپل صورت گرفته است. پرونده مقاله -
دسترسی آزاد مقاله
5 - Investigating the Correlative Verb Collocation in Persian Language based on Cognitive Semantics
Neda Haddadi Ebrahim Sheikhzadeh Seyyed Abdulmajid Tabatabai LotfiThe present article investigates the collocation of verb and noun in Persian language by reviewing different approaches to investigate collocation, from the cognitive viewpoint. On this basis, theories of Cowie (1998) and Howarth (1996) is the theoretical framework of t چکیده کاملThe present article investigates the collocation of verb and noun in Persian language by reviewing different approaches to investigate collocation, from the cognitive viewpoint. On this basis, theories of Cowie (1998) and Howarth (1996) is the theoretical framework of the present research. The present research has been conducted based on data of standard Persian language (writing) and its data were selected from corpora of Intelligent Signal Processing Research Center and Dehkhoda Dictionary. The cognitive study of the data is based on the collocation of the word "zadan". For example, for the cognitive analysis of the collocation of "del be darya zadan", different readings of the words " del be darya " and "zadan" and their combination in two sensor motor and non sensor motor domains have been investigated. It is generally concluded from the present research that in Persian language, it is possible to study the motivation of the speakers to use collocation of the words with cognitive tools such as form, schema, and prominence, and give a new classification of this linguistic phenomenon. On this basis, one can propose the classification of free and open collocation based on the degree of prominence and schema. The frequency of collocation can also be predicted based on these two cognitive criteria. The present thesis has been written in five chapters as introduction, review of literature, concepts and theoretical framework, data analysis and conclusion. پرونده مقاله -
دسترسی آزاد مقاله
6 - B-spline Method for Solving Fredholm Integral Equations of the First Kind
KH. Maleknejad Y. Rostami‎‎‎In this paper‎, we use the collocation method for to find an approximate solution of the problem by cubic B-spline basis.‎ The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle چکیده کامل‎‎‎In this paper‎, we use the collocation method for to find an approximate solution of the problem by cubic B-spline basis.‎ The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle low calculative costly. ‎The absolute errors in the solution are compared to existing methods to verify the accuracy and convergent nature of proposed ‎method. پرونده مقاله -
دسترسی آزاد مقاله
7 - An Efficient Numerical Method for a Class of Boundary Value Problems, Based on Shifted Jacobi-Gauss Collocation Scheme
M. Maleki Miyane S. AbbasbandyWe present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomi چکیده کاملWe present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomials to implement this method. A number of specific numerical examples demonstrate the accuracy and the efficiency of the proposed method. پرونده مقاله -
دسترسی آزاد مقاله
8 - Numerical Solution of a SIR Fractional Model of the Distribution of Computer Viruses Using Dickson Polynomials
D. Shirani M. Tavassoli ‎Kajani‎ S. Salahshour‎In this paper, a numerical method is presented using a Dickson-based collocations method to solve a fractional model of computer virus propagation. The model presented in this paper is a system of differential equations of fraction. By using the Dickson-based collo چکیده کامل‎In this paper, a numerical method is presented using a Dickson-based collocations method to solve a fractional model of computer virus propagation. The model presented in this paper is a system of differential equations of fraction. By using the Dickson-based collocation method and using Chebyshev's spatial points, we transform the system of deficit differential equations into a system of algebraic equations. In this way, an approximate solution can be found for the proposed model. By introducing the error functions for the expressed fractional model, the accuracy and convergence of the obtained solutions are investigated. Some of the approximate results obtained using this method is displayed in the numerical results ‎section.‎ پرونده مقاله -
دسترسی آزاد مقاله
9 - A New Efficient Method for Solving System of Fuzzy Volterra Integral Equations Based on Fibonacci Polynomials
T. Sheverini M. Paripour N. KaramikabirHere, based on the Fibonacci polynomials, a new collocation method is presented in order to solve the system of linear fuzzy Volterra integral equations of the second kind. By using this method, these systems are reduced to a linear system of algebraic equations that ar چکیده کاملHere, based on the Fibonacci polynomials, a new collocation method is presented in order to solve the system of linear fuzzy Volterra integral equations of the second kind. By using this method, these systems are reduced to a linear system of algebraic equations that are easily solvable. Also, the existence of the solution and error analysis of the proposed method are discussed. Finally, in order to show the importance and application of the proposed method, we have used several illustrative examples. The method is computationally very attractive and gives very accurate results. Easy implementation and simple operations are the essential features of the Fibonacci polynomials. پرونده مقاله -
دسترسی آزاد مقاله
10 - An Improvement on Collocation Algorithm to Solve Initial Value Problems
M. Nikarya S. SarabadanIn this paper an improved version of the collocation method is proposed to solve ordinary differential equations with initial conditions. Our proposed algorithm is described by applying it to some well-known IVPs. The results are compared with basic collocation algorith چکیده کاملIn this paper an improved version of the collocation method is proposed to solve ordinary differential equations with initial conditions. Our proposed algorithm is described by applying it to some well-known IVPs. The results are compared with basic collocation algorithms to show the advantages, applicability and efficiency of the proposed method. Based on numerical results, the proposed algorithm has better accuracy and execution time. پرونده مقاله -
دسترسی آزاد مقاله
11 - Convergence of Numerical Method For the Solution of Nonlinear Delay Volterra Integral Equations
M. ‎Zarebnia L. Shiri‎‎In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. چکیده کامل‎‎In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear delay Volterra integral equations is considered by two methods. The methods are developed by means of the sinc approximation with the single exponential (SE) and double exponential (DE) transformations. These numerical methods combine a sinc collocation method with the Newton iterative process that involves solving a nonlinear system of equations. The existence and uniqueness of numerical solutions for these equations are provided. Also an error analysis for the methods is given. So far approximate solutions with polynomial convergence have been reported for this equation. These methods improve conventional results and achieve exponential convergence. Numerical results are included to confirm the efficiency and accuracy of the ‎methods.‎ پرونده مقاله -
دسترسی آزاد مقاله
12 - The spectral iterative method for Solving Fractional-Order Logistic Equation
A. Shoja‎ E. Babolian A. R. VahidiIn this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method \cite{35} and the spectral method. The method چکیده کاملIn this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method \cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numerical method. The solutions obtained are compared with Adomian decomposition method and iterative method used in \cite{35‎} and Adams method \cite{36}.‎ پرونده مقاله -
دسترسی آزاد مقاله
13 - Solving Volterra's Population Model via Rational Christov Functions Collocation Method
K. Parand E. ‎Hajizadeh‎ A. Jahangiri S. KhaleqiThe present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a چکیده کاملThe present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE). The accuracy of method is tested in terms of $RES$ error and compare the obtained results with some well-known results.The numerical results obtained show that the proposed method produces a convergent ‎solution.‎ پرونده مقاله -
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14 - رویکرد «باهم‌آیی» درترکیب‌های وصفی و اضافی مثنوی مولاناجلال‌الدین محمد بلخی
محمود طاووسی مهدی ماحوزی حامد ذاکریهنجارگریزی یکی از ویژگی‌های سبکی مولانا جلال‌الدین محمد بلخی است. گاهی این هنجارگریزی‌ها جنبه‌ای بسیار هنرمندانه به سخن وی می‌دهد. در این زمینه پژوهش پیش رو تلاش داشته است تا به بررسی ترکیب‌های وصفی و اضافی در مثنوی مولانا بپردازد؛ ترکیب‌هایی که به صورت دل‌خواه مولانا، چکیده کاملهنجارگریزی یکی از ویژگی‌های سبکی مولانا جلال‌الدین محمد بلخی است. گاهی این هنجارگریزی‌ها جنبه‌ای بسیار هنرمندانه به سخن وی می‌دهد. در این زمینه پژوهش پیش رو تلاش داشته است تا به بررسی ترکیب‌های وصفی و اضافی در مثنوی مولانا بپردازد؛ ترکیب‌هایی که به صورت دل‌خواه مولانا، دچار تغییر در سطح ساخت و معنا شده است. البته این تغییرات در جهت هنری زبان صورت گرفته و آن را از زبان هنجار جدا ساخته است. تعبیری که برای این‌گونه ترکیبات میتوان آورد باهم‌آیی است که تفاوت آن با ترکیب دستوری، هنجارگریزی در معناست.در این مقاله نتایجی جالب توجه حاصل شده که از جملة آن میتوان بهباهم‌آیی‌های انتزاعی اشاره کرد. این ترکیب‌ها که نتیجة ذهن خلاق و قاعده‌ناپذیر مولاناست، هم در شعر شاعران پیشین بی‌سابقه است و هم برانگیزانندة ذهن مخاطب به سوی جست و جو در پیوند دادن اجزای یک ترکیب و یافتن رابطة معنایی در آن‌هاست پرونده مقاله -
دسترسی آزاد مقاله
15 - The Contributions of Input Enhancement of Collocations to the Reading Comprehension Performance of Iranian Field-Dependent and Field-Independent Learners
Tahere Mohammadi Alireza AmjadiparvarThe present study aimed at examining the possible impact of input enhancement of collocations on the reading comprehension among Iranian Field-Dependent (FD) and Field-Independent (FI) students. Firstly, 120 intermediate female EFL learners took a Nelson proficiency tes چکیده کاملThe present study aimed at examining the possible impact of input enhancement of collocations on the reading comprehension among Iranian Field-Dependent (FD) and Field-Independent (FI) students. Firstly, 120 intermediate female EFL learners took a Nelson proficiency test and the results were used to select 90 students who were given Group Embedded Figures Test (GEFT) to distinguish the FD learners from the FI ones. Ultimately, 28 FD and 28 FI learners were left. These learners were classified into four groups, two of which consisted of 14 FD, and the other two comprised 14 FI learners. One FD and one FI group served as the experimental groups while the other two were control groups. A reading pretest was given to all groups and the researchers incorporated techniques of input enhancement of collocations in the texts covered in the experimental groups. In control groups, the same materials with no enhancement were administered. Having finished the eight treatment sessions, the researchers gave all four groups the reading comprehension posttest whose results were used to examine the research questions. Since the two independent variables of the current study were categorical, and the dependent variable and covariate were continuous, ANCOVA was employed to do the data analysis. Based on the statistical analysis outcome, input enhancement of collocations had a significant impact on the reading comprehension performance of Iranian field-dependent learners. Yet, it had no significant effect on the Iranian FI learners’ reading comprehension performance. Finally, the findings showed that input enhancement of collocations had a significant effect on the reading comprehension performance of Iranian FD and FI EFL learners differently; that is, FD learners outperformed the FI ones. The findings of the study imply that teacher training courses should include some training on input enhancement techniques and cognitive styles so that teachers’ awareness regarding input enhancement andtheir cognitive styles were raised. پرونده مقاله -
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16 - A Corpus-Based Probe into Context Type, Social Power, and Speaker Status of Sympathy, Grief, and Condolence Collocational Patterns in American Spoken English Discourse
Reza Bagheri Nevisi Sanaz InanlouThe ability to express thoughts and emotions appropriately on different social occasions is considered an essential prerequisite to maintaining social relationships. This study sought to investigate the most frequent words and expressions pertaining to 'Condolence' and چکیده کاملThe ability to express thoughts and emotions appropriately on different social occasions is considered an essential prerequisite to maintaining social relationships. This study sought to investigate the most frequent words and expressions pertaining to 'Condolence' and 'Sympathy' and also which words and expressions co-occurred with such expressions in spoken American English discourse in the different contexts to know how and when to use grief-related expressions. To this end, the data was collected from the spoken Corpus of Contemporary American English (COCA). The findings revealed that the word 'Sympathy' occurred mostly in the equal social status and socio-cultural context whereas the word ' Grief ' was observed in the equal social status and transactional context in the same corpus. The study showed that the collocational words did not influence the function of such words and they were substituted based on the intended meaning of the speakers. The teachers and the learners will get insights into the more frequent collocations as well as the likely appropriate ways to apply them in the authentic context. The findings could be beneficial for four groups: First, the researcher can use the findings as a resource for cross-cultural comparison of condolences. Second, the EFL learners might get familiar with the expressions of condolences in the native forms. Besides, teachers may benefit from the results to instruct the learners on how to use condolence expressions properly. Finally, material developers and test designers can use the findings in designing materials and tests. پرونده مقاله -
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17 - Effects of WhatsApp, Adobe Connect, and Face-to-face Classes on Learning Collocations by Iranian EFL Learners
Faezeh Roudgar Seyyed Abdolmajid Tabatabaee Lotfi Narjes Ashari Tabar Seyyed Amir Hosein SarkeshikianTechnology has crept into every aspect of human life, and second language education is not an exception, giving rise to computer-enhanced language learning and mobile-assisted language learning. This study aimed to investigate the effectiveness of WhatsApp, Adobe Connec چکیده کاملTechnology has crept into every aspect of human life, and second language education is not an exception, giving rise to computer-enhanced language learning and mobile-assisted language learning. This study aimed to investigate the effectiveness of WhatsApp, Adobe Connect, and face-to-face classes on learning collocations by Iranian EFL learners in Qom, and to make comparisons among these three platforms. Thus, a quasi-experimental design was set up in which a number of available intermediate-level students were assigned to a WhatsApp group, an Adobe Connect group, and a Control group. The three groups were given a collocation pretest at the outset of the study and they were exposed to collocations, though through different media. In the treatment, which lasted for 10 sessions, for the learners in the WAG and ACG, the collocations were presented via a picture, an example sentence, and a follow-up quiz, which the CG learners received the same collocations in a similar fashion except that they were not provided with videos/pictures. At the end of the experiment, the learners were given a posttest of collocations, and the following results were obtained after running paired-samples t tests and a one-way ANCOVA: (a) the three groups of WAG, ACG, and CG were fruitful and the learners in all these environments improved significantly from pretest to posttest of collocations, and (b) ACG learners significantly outperformed WAG learners, who in turn could perform significantly better than the CG learners. The obtained results bear implications for education in general and second language instruction in particular. پرونده مقاله -
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18 - An Approximate Solution of Functionally Graded Timoshenko Beam Using B-Spline Collocation Method
D Mahapatra Sh Sanyal Sh BhowmickCollocation methods are popular in providing numerical approximations to complicated governing equations owing to their simplicity in implementation. However, point collocation methods have limitations regarding accuracy and have been modified upon with the application چکیده کاملCollocation methods are popular in providing numerical approximations to complicated governing equations owing to their simplicity in implementation. However, point collocation methods have limitations regarding accuracy and have been modified upon with the application of B-spline approximations. The present study reports the stress and deformation behavior of shear deformable functionally graded cantilever beam using B-spline collocation technique. The material grading is along the beam height and varies according to power law. Poisson’s ratio is assumed to be a constant. The equations are derived using virtual work principle in the framework of Timoshenko beams to obtain a unified formulation for such beams. A sixth order basis function is used for approximation and collocation points are generated using Greville abscissa. Deformation and stresses; bending (axial) stresses and transverse (shear) stresses, and position of neutral axis are studied for a wide range of power law index values. The results are reported along the beam cross-section and beam length. پرونده مقاله -
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19 - Stress Waves in a Generalized Thermo Elastic Polygonal Plate of Inner and Outer Cross Sections
R SelvamaniThe stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane s چکیده کاملThe stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material. The frequency equations are obtained by satisfying the irregular boundary conditions along the inner and outer surface of the polygonal plate. The computed non-dimensional wave number and wave velocity of triangular, square, pentagonal and hexagonal plates are given by dispersion curves for longitudinal and flexural antisymmetric modes of vibrations. The roots of the frequency equation are obtained by using the secant method, applicable for complex roots. پرونده مقاله -
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20 - Analysis of Rectangular Stiffened Plates Based on FSDT and Meshless Collocation Method
Sh Hosseini B SoltaniIn this paper, bending analysis of concentric and eccentric beam stiffened square and rectangular plate using the meshless collocation method has been investigated. For detecting the governing equations of plate and beams, Mindlin plate theory and Timoshenko beam theory چکیده کاملIn this paper, bending analysis of concentric and eccentric beam stiffened square and rectangular plate using the meshless collocation method has been investigated. For detecting the governing equations of plate and beams, Mindlin plate theory and Timoshenko beam theory have been used, respectively, with the stiffness matrices of the plate and the beams obtained separately. The stiffness matrices of the plate and the beams were combined together using transformation equations to obtain a total stiffness matrix. Being independent of the mesh along with its simpler implementation process, compared to the other numerical methods, the meshless collocation method was used for analyzing the beam stiffened plate. In order to produce meshless shape functions, radial point interpolation method was used where moment matrix singularity problem of the polynomial interpolation method was fixed. Also, the Multiquadric radial basis function was used for point interpolations. Used to have solutions of increased accuracy and stability were polynomials with the radial basis functions. Several examples are presented to demonstrate the accuracy of the method used to analyze stiffened plates with the accuracy of the results showing acceptable accuracy that the employed method in analyzing concentric and eccentric beam stiffened square and rectangular plates. پرونده مقاله -
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21 - Application of Chebyshev Polynomials for Solving Abel's Integral Equations of the First and Second Kind
Ahmad Shahsavaran M. M. ShamivandIn this paper, a numerical implementation of an expansion method is developed for solving Abel's integral equations of the first and second kind. The solution of such equations may demonstrate a singular behaviour in the neighbourhood of the initial point of the interva چکیده کاملIn this paper, a numerical implementation of an expansion method is developed for solving Abel's integral equations of the first and second kind. The solution of such equations may demonstrate a singular behaviour in the neighbourhood of the initial point of the interval ofintegration. The suggested method is based on the use of Taylor series expansion to overcome the singularity which leads to approximating the unknown function and it's derivatives in terms of Chebyshev polynomials of the first kind. The proposed method, transforms the Abel's integral equations of the first and second kind into a system of linear algebraic equations which can be solved by Gaussian elimination algorithm. Finally, some numerical examples are included to clarify the accuracy and applicability of the presented method which indicate that proposed method is computationally very attractive. In thispaper, all numerical computations were carried out on a PC executing some programs written in maple software. پرونده مقاله -
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22 - A novel method to solve fuzzy Volterra integral equations using collocation method
Nouredin Parandin Mohsen DarabiFuzzy Volterra integral equations, especially the second kind is interested for researchers to be solved withnumerical methods since analytical methods are not applicable. Here a new study based on Fibonacci polynomialscollocation method in order to solve them is introd چکیده کاملFuzzy Volterra integral equations, especially the second kind is interested for researchers to be solved withnumerical methods since analytical methods are not applicable. Here a new study based on Fibonacci polynomialscollocation method in order to solve them is introduced. Some properties of these polynomials are consideredto implement a collocation method in order to approximate the solution of Fuzzy Volterra integral equations ofthe second kind. The existence and uniqueness of the solution also convergence and error analysis of proposedmethod are proved thoroughly. The results showed the calculations of the method are simple and low cost. پرونده مقاله -
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23 - Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method
Ahamd Shahsavaran Akbar ShahsavaranIn this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integra چکیده کاملIn this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applicability of the technique. پرونده مقاله -
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24 - Numerical solution of Hammerstein Fredholm and Volterra integral equations of the second kind using block pulse functions and collocation method
M. M. Shamivand A. ShahsavaranIn this work, we present a numerical method for solving nonlinear Fredholmand Volterra integral equations of the second kind which is based on the useof Block Pulse functions(BPfs) and collocation method. Numerical examplesshow eciency of the method.In this work, we present a numerical method for solving nonlinear Fredholmand Volterra integral equations of the second kind which is based on the useof Block Pulse functions(BPfs) and collocation method. Numerical examplesshow eciency of the method. پرونده مقاله -
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25 - Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method
Ahmad Shahsavaran Akbar ShahsavaranIn this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integra چکیده کاملIn this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applicability of the technique. پرونده مقاله -
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26 - The Effect of Using Advance Organizers on Improving Collocational Knowledge of Iranian EFL Learners in MALL-Oriented Classrooms
Elahe Ghorbani Leila AkbarpourABSTRACT The purpose of the present study was to explore if advance organizers with the help of MALL-oriented classrooms can help Iranian EFL learners improve their collocational knowledge or not. In other words, this study investigated the effect of advance organizers چکیده کاملABSTRACT The purpose of the present study was to explore if advance organizers with the help of MALL-oriented classrooms can help Iranian EFL learners improve their collocational knowledge or not. In other words, this study investigated the effect of advance organizers on improving collocational knowledge of Iranian EFL learners in a MALL-oriented classroom environment. To accomplish this aim, a quasi-experimental method of research, using a pretest-posttest design with a control group was employed in order to answer the research question. After the homogenization procedure the participants were divided into two groups of control and experimental. In order to investigate the effectiveness of the treatment and also compare the two proficiency levels regarding the treatment, two teacher-made multiple-choice grammar tests were employed as the pre- and post-test. The findings, guided by descriptive and inferential statistics, highlighted that advance organizers in a MALL-oriented classroom had a positive effect on improving EFL learners’ collocational knowledge. پرونده مقاله -
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27 - The Effect of Visually-Mediated Collocations on the Elementary EFL Learners’ Vocabulary Learning
Abbas Kasraian Bahram PakfetratWhen vocabulary teaching is taken into account in EFL classes in our Iranian state primary schools, teachers generally prefer to use classical techniques. The purpose of this study was to investigate the effect of visually-mediated collocations on the elementary EFL lea چکیده کاملWhen vocabulary teaching is taken into account in EFL classes in our Iranian state primary schools, teachers generally prefer to use classical techniques. The purpose of this study was to investigate the effect of visually-mediated collocations on the elementary EFL learners’ vocabulary learning. In order to conduct this study, 60 students from two classrooms in an elementary class, participated in this study. The experimental group was taught new words using collocation techniques; the control group was taught new words using classical techniques such as synonym, antonym, definition and mother tongue translation. Both groups were given the same pre-test at the beginning of the term and after the classroom treatment, including 8 sessions of teaching English vocabulary through collocations, all the participants were given the same multiple- choice tests as a summative evaluation. The statistical finding in the pre-test revealed that the participants' performance had almost the equal mean score, while the performances of both groups in the post-test were significantly different. The result of the study indicated that the group receiving the method of teaching collocations had better performance in vocabulary test than teaching them using classical techniques. Teaching vocabulary through collocations can be effective factors in helping students remember the new words. Therefore, teachers of English could be encouraged to attach more importance to vocabulary teaching rather than the acquisition of grammar and the use of current vocabulary teaching strategies in their classes. پرونده مقاله -
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28 - The Comparison of Native English and Persian Elementary School Students’ Performance on Lexical and Grammatical Collocations
Linda Samadi Maryam Bahardoust Rahman SahragardThe importance and howness of language learning/ acquisition has been a great concern for decades. There are many factors that play important roles in this regard. This research compared the performance of native Persian and English elementary students to see if there i چکیده کاملThe importance and howness of language learning/ acquisition has been a great concern for decades. There are many factors that play important roles in this regard. This research compared the performance of native Persian and English elementary students to see if there is any significant difference between the two groups and which type of collocation they performed better within the groups. For this purpose, 60 English and Persian students were selected from elementary schools in Kashan, Iran and New Castle, England. Two tests of collocation (lexical and grammatical) each containing thirty items were adopted. An independent t-test was run and no significant difference between the two groups in lexical collocation was found. But a significant difference was seen between the two groups regarding grammatical collocation. Based on the result of the dependent t-test, the two groups performed better on the lexical collocation test پرونده مقاله -
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29 - The Effectiveness of Social Media Network- Telegram on Teaching English Collocations to Iranian EFL Learners
Zahra Ahmadpour Kasgari Reza Mirarab RaziTechnology has a profound influence on schooling in the 21st century and educators are being challenged to incorporate technological innovation to assist students in their learning. Accordingly, the face of learning is changing in general and new technologies are offeri چکیده کاملTechnology has a profound influence on schooling in the 21st century and educators are being challenged to incorporate technological innovation to assist students in their learning. Accordingly, the face of learning is changing in general and new technologies are offering students and teachers tools and occasions inconceivable before. In this respect, this study aimed to investigate the impact of Telegram (as mobile technology) on collocation learning and retention of Iranian EFL learners. Participants of this study included 120 EFL learns (in two experimental (N= 60) and control (N=60) groups) who received different treatments over the study. Analyzing the results showed that there was a significant difference between the performances of experimental and control groups, of course, in favor of the experimental group who confirmed the effect of Telegram on improving collocational knowledge. This study implies that using the social media network- Telegram has various pedagogical benefits and it can be very promising in EFL instruction. پرونده مقاله -
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30 - Geoid Determination Based on Log Sigmoid Function of Artificial Neural Networks: (A case Study: Iran)
Omid Memarian SorkhabiA Back Propagation Artificial Neural Network (BPANN) is a well-known learning algorithmpredicated on a gradient descent method that minimizes the square error involving the networkoutput and the goal of output values. In this study, 261 GPS/Leveling and 8869 gravity int چکیده کاملA Back Propagation Artificial Neural Network (BPANN) is a well-known learning algorithmpredicated on a gradient descent method that minimizes the square error involving the networkoutput and the goal of output values. In this study, 261 GPS/Leveling and 8869 gravity intensityvalues of Iran were selected, then the geoid with three methods “ellipsoidal stokes integral”,“BPANN”, and “collocation” were evaluated. Finally obtained results were compared and bestthe method was introduced. In Iran, the consequences showed that “BPANN” has been superiorthan other methods. Root Mean Square Error of this algorithm was less than ±0.292 m.Therefore, we concluded that BPANN can be used for geoid determination as an excellentalternative to the classic methods. پرونده مقاله -
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31 - Lexical and Grammatical Collocations in Writing Production of EFL Learners
مریم بهاردوست محمد رئوف معینیLewis (1993) recognized significance of word combinations including collocations by presenting lexical approach. Because of the crucial role of collocation in vocabulary acquisition, this research set out to evaluate the rate of collocations in Iranian EFL learners' wri چکیده کاملLewis (1993) recognized significance of word combinations including collocations by presenting lexical approach. Because of the crucial role of collocation in vocabulary acquisition, this research set out to evaluate the rate of collocations in Iranian EFL learners' writing production across L1 and L2. In addition, L1 interference with L2 collocational use in the learner' writing samples was studied. To achieve this goal, 200 Persian EFL learners at BA level were selected. These participants were taking paragraph writing and essay writing courses in two successive semesters. As for the data analysis, mid-term, final exam, and also the assignments of L2 learners were evaluated. Because of the nominal nature of the data, chi-square test was utilized for data analysis. Then, the rate of lexical and grammatical collocations was calculated. Results showed that the lexical collocations outnumbered the grammatical collocations. Different categories of lexical collocations were also compared with regard to their frequencies in EFL writing production. The rate of the verb-noun and adjective-noun collocations appeared to be the highest and noun-verb collocations the lowest. The results also showed that L1 had both positive and negative effect on the occurrence of both grammatical and lexical collocations. پرونده مقاله -
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32 - Effect of Spaced Repetition on Iranian EFL Learners’ Form Recall of English Single Words and Collocations
Bita Naderi Bahram BagheriAcquiring vocabulary has always been recognized as a significant and challenging part of language learning process. In this study, the researcher examined the extent to which form recall of target lexical items by learners of English as a foreign language (EFL) is affec چکیده کاملAcquiring vocabulary has always been recognized as a significant and challenging part of language learning process. In this study, the researcher examined the extent to which form recall of target lexical items by learners of English as a foreign language (EFL) is affected by a) repetition and b) by the type of target item; single words versus collocations. The treatment consisted of non-communicative, (partly) decontextualized activities, in which the target items were taught and examined. For this purpose, 27 Iranian intermediate EFL learners were chosen and divided into two groups of A with 14 and B with 13 participants. In all activities, the participants had to supply the target items’ forms. Data were collected in a classroom setting in two groups, differing only in the type of target item. In class A, the research focused on single words and in class B the focus was on collocations. A pre and post test was administered to the participants before and after the treatment. The findings show a large effect of spaced repetition on form recall of single words and collocations. However, the participants in class A who were treated with single words outperformed the other group. پرونده مقاله -
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33 - The Impact of Teaching Corpus-based Collocation on EFL Learners' Writing Ability
Shabnam Ashouri Davood Mashhadi HeidarAbstract The present study explores the impact of corpus-based collocation instruction on intermediate Iranian EFL learners' writing ability. For this study, 84 Iranian learners, studying English as a foreign language in Bayan Institute, Iran, were selected and were ran چکیده کاملAbstract The present study explores the impact of corpus-based collocation instruction on intermediate Iranian EFL learners' writing ability. For this study, 84 Iranian learners, studying English as a foreign language in Bayan Institute, Iran, were selected and were randomly divided into two groups, experimental and control. Conventional methods of writing instruction were taught to the control group while the experimental group received corpus-based collocation instruction in writing essays for 15 sessions. The design of the research was based on pre- and posttest method. The tests were employed to measure the writing fluency of the two groups. Test results were scrutinized to answer a major question for correlation between the participants’ variety of corpus-based collocations and their writing. The results illustrated that there was a significant difference between the mean scores of control and experimental groups in writing elements (p<0.05). Actually, lexical collocation instruction expanded the writing elements of vocabulary and mechanics rather than grammar and fluency in writing essays. The study findings indicated that there is a significantly positive correlation between the participants’ use of various lexical collocations and their writing proficiency. پرونده مقاله -
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34 - EFL Learners’ Writing Progress through Collocation Awareness-raising Approach: An analytic assessment
Elaheh Hamed MahvelatiThere is insufficient rigorous research examining which features of EFL/ESL learners’ writing can be improved through their awareness/knowledge of collocation. This study, therefore, addressed this issue and examined the effect of this awareness on Iranian EFL lea چکیده کاملThere is insufficient rigorous research examining which features of EFL/ESL learners’ writing can be improved through their awareness/knowledge of collocation. This study, therefore, addressed this issue and examined the effect of this awareness on Iranian EFL learners’ writing performance with respect to the specific features of each writing sub-component (i.e., content, organization, vocabulary and language use) in the short and long term. The study was a quasi-experimental using a within- and between-group approach utilizing a pre-test/post-test design with a control group supplemented with the qualitative information obtained from the interviews with the writing raters. The results showed that developing knowledge/awareness of collocations effectively improved the participants’ quality of writing in terms of ‘vocabulary’, ‘organization’ and ‘language use’. A deeper analysis of the results revealed that the observed improvements in these sub-components were in terms of some particular features: the range of sophistication, lexical choice and usage; succinctness, fluency and clarity of the expressed ideas; and the accuracy of agreement, tense and prepositions. In addition, the sub-findings emerging from the results accentuated the significance of instructional intervention, in general, and first language-second language contrastive analysis, in particular, in helping L2 learners notice, note and incorporate collocations in their output. پرونده مقاله -
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35 - Semantic Prosody: Its Knowledge and Appropriate Selection of Equivalents
aida elahi Mohammad RahbarIn translation, choosing appropriate equivalent is essential to convey the right message from source-text to target-text, and one of the issues that may have a determinative role in appropriate equivalent choice is the semantic prosody (SP) behavior of words and the rel چکیده کاملIn translation, choosing appropriate equivalent is essential to convey the right message from source-text to target-text, and one of the issues that may have a determinative role in appropriate equivalent choice is the semantic prosody (SP) behavior of words and the relation existing between the SP of a word and semantic senses (i.e. negativity, positivity or neutrality) of its collocations in the context. This research explored the impact of Iranian translator trainees' semantic prosody knowledge on the appropriate selection of equivalents in translation. The probable influence of proficiency level or fields of study on the appropriate selection of equivalents with respect to SP was concentrated as well. To fulfill the aims of the study, a translation test including a number of near-synonym pairs with different SPs was administered among participants with different fields of study as well as different proficiency levels. Findings were analyzed based on Sinclair's (1996) hypothesis of SP as well as Stubbs' (1995) model of SP classification. The study showed where there is more than one equivalent of a word in another language, having the knowledge and being aware of the conditions of semantic prosody is necessary to select the appropriate, accurate equivalents and thus to convey the exact message from a source text to the target one. The results also revealed that proficiency level and field of study among language learners can have an influence on choosing appropriate equivalents with respect to SP. The findings of the present study can be beneficial for the instructors and learners in both fields of translation and Teaching English as a Foreign Language to improve equivalent choice appropriateness. Also, this study by highlighting the essential role of semantic prosody in selecting appropriate equivalents can be beneficial to dictionary compilers to include semantic prosody behaviors in the definition and information of words. پرونده مقاله -
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36 - Integrating Interactive Whiteboards in EFL Learners' Learning and Retention of Non-congruent Collocations
Reza Khakzadan Ma‘ssoumeh Bemani NaeiniDrawing on the assumptions of socio-cognitive linguistics, focusing on the effective role of interaction in terms of reducing the cognitive burden in the process of learning, this quasi-experimental study aimed at investigating the effect of the Interactive Whiteboard ( چکیده کاملDrawing on the assumptions of socio-cognitive linguistics, focusing on the effective role of interaction in terms of reducing the cognitive burden in the process of learning, this quasi-experimental study aimed at investigating the effect of the Interactive Whiteboard (IWB) usage on the learning and retention of non-congruent collocations among 60 homogenized Iranian EFL learners, aged 18 to 24 years old. To this end, the sample selection procedure yielded two intact groups: the experimental group (N=30) who experienced learning collocations through the IWB and the control group (N=30) who learned them through the use of conventional board. The t-test results of the comparison between the two groups on both the immediate and delayed post-tests indicate that the experimental group outperformed the control group, suggesting the effectiveness of the IWB for the purpose of learning (Sig. value = 0.01; Eta squared = 0.10) and retention (Sig. value = 0.04; Eta squared = 0.06) of non-congruent collocations, thus providing support for the interactive function of instructional materials, such as IWB. The procedure and promising findings may provide insights for considering the integration of IWB into Iranian EFL learning settings. پرونده مقاله -
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37 - Effect of Individually-Generated, Teacher-Generated, and Cooperatively-Generated Graphic Organizer Activities on EFL Learners' Collocation Knowledge and Retention
Mansoureh Mojaverian Hossein Siahpoosh Mehran DavaribinaGraphic organizers have been employed to facilitate second language learners' vocabulary knowledge development; however, the examination of the effects of these graphic organizer options on learners' collocation knowledge development has remained unexplored. This resear چکیده کاملGraphic organizers have been employed to facilitate second language learners' vocabulary knowledge development; however, the examination of the effects of these graphic organizer options on learners' collocation knowledge development has remained unexplored. This research investigated the effects of using teacher-generated, individually-generated, and cooperatively generated graphic organizers on Iranian English language learners' collocation knowledge. The present study examined these effects by studying 80 intermediate second language learners who were selected based on convenience sampling. The participants were assigned to four groups randomly. The collocations were provided on the board in the control group, and explanations were provided orally. In the teacher graphic organizer group, the teacher provided the learners with pre-filled graphic organizers with collocations. In the individually-generated group, the teacher provided the learners with a list of words in groups, and they had some minutes to generate their graphic organizers. In the cooperatively-generated group, the participants had some minutes to generate their graphic organizers cooperatively with their peers. Using a pre-test, immediate post-test, and delayed post-test, the researchers examined the effects of these conditions on learners' collocation knowledge. The findings showed that all graphic organizer groups were more successful than the control group in developing learners' collocation knowledge. In addition, the mean value of the participants’ scores in the cooperative group was significantly more than that of the teacher-generated and individually-generated groups, and there was no significant difference between the mean scores of the teacher and individual-generated graphic organizer groups. پرونده مقاله -
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38 - Effects of Form-focused, Meaning-focused, and Forms-focused Instruction on Iranian Intermediate EFL Learners' Development of Collocations
Nasrin Dehghan Sayyed Omid TabatabaeiThe current study was an attempt to investigate the effect of performing Focus on Form (FoF), Focus on Meaning (FoM), and Focus on Forms (FoFs) instructions on the development of collocational knowledge among Iranian intermediate EFL learners, and to explore any signifi چکیده کاملThe current study was an attempt to investigate the effect of performing Focus on Form (FoF), Focus on Meaning (FoM), and Focus on Forms (FoFs) instructions on the development of collocational knowledge among Iranian intermediate EFL learners, and to explore any significant difference on the achievement of the participants' collocational knowledge among three groups. In so doing, 107 female intermediate EFL learners were selected for this research. They all took the Nelson proficiency test and 90 students who had gotten the higher scores were randomly divided into three groups of FoF, FoM, and FoFs. Before the treatment they were pretested and the results of the three groups did not have any significant difference, thus all of the learners were at the same level of knowledge. After the treatment, they were posttested and their scores in FoM group were considerably higher than the learner' scores in FoF and FoFs groups but the learners' scores in FoF and FoFs groups did not have any significant difference with each other. The findings of this study offer beneficial implications for EFL teachers, learners, and materials developers which are finally discussed. پرونده مقاله -
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39 - Appropriation-Based Syllabus and Speaking Ability: Evidence from Iranian EFL Context
Seyedeh Masoomeh Asaei Ramin RahimyThe impetus for performing this study came from Thornbury's (2005) approach to teaching speaking in which he claimed that awareness-raising techniques and appropriation strategies facilitate the developing speaking skill. Accordingly, this study explored the impact of a چکیده کاملThe impetus for performing this study came from Thornbury's (2005) approach to teaching speaking in which he claimed that awareness-raising techniques and appropriation strategies facilitate the developing speaking skill. Accordingly, this study explored the impact of an appropriation-based syllabus to teaching speaking by using chunks-on-card activities based on quasi-experimental method. To do so, 30 Iranian intermediate EFL learners were selected from four classes in a language institute and the classes were randomly allocated to two groups: an experimental and a control group. To observe the effect of the treatment, the participants underwent pre- and post-tests on speaking skill. They participated in 14 treatment sessions in which the experimental group practiced the chunks-on-card approach through drilling while the control group practiced the conventional approach. The findings of the Independent-Samples T-test as well as the Paired Samples T-test revealed significant differences among the pre- and post-tests scores of both groups. Thus, the hypothesis of the study which postulated that the appropriation-based teaching of lexical chunks had a significant impact on these intermediate EFL learners’ speaking skills was confirmed. پرونده مقاله -
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40 - Appropriation-Based Syllabus and Speaking Ability: Evidence from Iranian EFL Context
Seyedeh Masoomeh Asaei Ramin RahimiThe impetus for performing this study came from Thornbury's (2005) approach to teaching speaking in which he claimed that awareness-raising techniques and appropriation strategies facilitate the developing speaking skill. Accordingly, this study explored the impact of a چکیده کاملThe impetus for performing this study came from Thornbury's (2005) approach to teaching speaking in which he claimed that awareness-raising techniques and appropriation strategies facilitate the developing speaking skill. Accordingly, this study explored the impact of an appropriation-based syllabus to teaching speaking by using chunks-on-card activities based on quasi-experimental method. To do so, 30 Iranian intermediate EFL learners were selected from four classes in a language institute and the classes were randomly allocated to two groups: an experimental and a control group. To observe the effect of the treatment, the participants underwent pre- and post-tests on speaking skill. They participated in 14 treatment sessions in which the experimental group practiced the chunks-on-card approach through drilling while the control group practiced the conventional approach. The findings of the Independent-Samples T-test as well as the Paired Samples T-test revealed significant differences among the pre- and post-tests scores of both groups. Thus, the hypothesis of the study which postulated that the appropriation-based teaching of lexical chunks had a significant impact on these intermediate EFL learners’ speaking skills was confirmed. پرونده مقاله -
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41 - An investigation of the effects of prefabricated patterns or collocations upon the enhancement of Iranian EFL learners’ writing skill level
Mehdi Yaghoobi Mehdi Haseli SonghoriThe major objective of the present study is to measure up the effectiveness of teaching collocations in raising foreign language writing proficiency. It is widely acknowledged that collocations play an important role in second language learning, particularly at the inte چکیده کاملThe major objective of the present study is to measure up the effectiveness of teaching collocations in raising foreign language writing proficiency. It is widely acknowledged that collocations play an important role in second language learning, particularly at the intermediate and advanced levels. The current research was executed to investigate the influence of collocation instruction and consideration on enhancing Iranian EFL learners’ writing skill. To do so, thirty upper intermediate EFL learners were selected from among the learners in an English language institute. Their level of English proficiency was determined on the basis of a pretest at the outset of the study. Simply speaking, a test of writing ability as a pretest was administered of which the scores were used to assign the subjects into two homogeneous groups. The control group encountered passages without being resorted to prefabricated patterns (collocations), but the experimental group resorted to prefabricated patterns and tasks prior to writing texts respectively. The fundamental aim of this research was to gain a better understanding of the role collocations play in students’ writing. This study intended to investigate the correlation between Iranian EFL learners' use of lexical collocations (i.e. frequency and variety) and their writing scores. It was revealed that implementation of the prefabricated patterns had a great influence upon the subjects experiencing them in comparison to the control group. Experimental subjects outperformed in the post-test, at the significant level of .01. In reality, teaching collocations could play a prominent role in improving EFL learners’ writing skill. پرونده مقاله -
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42 - A Cross-cultural Study on the Discussion Sections of PhD Dissertations with a Focus on Academic Collocations
Vida Fathi Bonabi Nesa Nabifar Saeideh AhangariThe present study aimed to examine the rhetorical structure of the discussion sections of English PhD dissertations authored by Iranian students in an EFL context, Indian ESL students and native (English speaking) PhD students at Applied Linguistics. To this end, 300 di چکیده کاملThe present study aimed to examine the rhetorical structure of the discussion sections of English PhD dissertations authored by Iranian students in an EFL context, Indian ESL students and native (English speaking) PhD students at Applied Linguistics. To this end, 300 discussion sections were gathered from three contexts under study at the time frame of 2005 to 2020. Following Benson et al’s (1986) model, the researchers analyzed the discussion sections of the dissertations for both lexical and grammatical collocations and their different sub-classifications. The findings showed that the natives overused collocations in a significantly greater number in developing the PhD dissertations discussion section than those of EFL and ESL PhD students' dissertations. Moreover, despite variations, there were similarities between EFL and ESL PhD students' dissertations in terms of utilizing the sub-categories of collocations that can be considered as signs for standardization of academic writing by non-native speakers of English. The implications for researchers, teachers and students were discussed. پرونده مقاله -
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43 - Evaluative Prosody in the Collocations Used in Introduction Sections of Scientific English Articles of Hard and Soft Disciplines
Leila Ghaemi Nesa Nabifar Davud KuhiAbstractThis study investigates the collocations, as specific type of multiword sequences that frequently occur in the scientific writing of hard and soft disciplines based on Hoey's (2005) model. The study also extends the semantic prosody of collocations in general wo چکیده کاملAbstractThis study investigates the collocations, as specific type of multiword sequences that frequently occur in the scientific writing of hard and soft disciplines based on Hoey's (2005) model. The study also extends the semantic prosody of collocations in general words across disciplines. To this end, the introduction sections of 1000 research articles (RAs) from two disciplines of soft and hard were gathered from disciplines of applied linguistics, sociology, and psychology under the category of soft science and from the majors of computer science, chemistry, physics and medicine under the category of hard science in order to find a relationship between these two types of RAs with differences in discipline and the authors’ use of collocations and their semantic prosody. In this study, function words containing articles were ignored that their rates and frequencies were higher than the content words, including specific and general words. The findings indicated that the collocates of general words expressed the positive, negative, and neutral senses and being in soft or hard science did not affect their semantic prosody. It means that the general words directly expressed the meaning they transferred to the reader, without the interference of the context. The results can result in collocation teaching, which is a popular genre of academic writing assigned across disciplines as well as in language-related courses. پرونده مقاله -
دسترسی آزاد مقاله
44 - No Negotiation, Limited Negotiation, and Extended Negotiation in Proactive Focus on Form in Vocabulary Acquisition
Parviz Maftoon Bahram BagheriNegotiation, as an interactional strategy and proactive focus on form (FoF) have received increased attention in second language research. The combination of negotiation and proactive FoF, however, has not been examined in relation to L2 vocabulary learning. To address چکیده کاملNegotiation, as an interactional strategy and proactive focus on form (FoF) have received increased attention in second language research. The combination of negotiation and proactive FoF, however, has not been examined in relation to L2 vocabulary learning. To address this gap, the present study investigated how the amount of negotiation and proactive FoF impacted learners’ vocabulary knowledge development. The participants were 100 adult learners of English, assigned to three experimental groups and one control group. The three experimental groups investigated three categories of no negotiation, limited negotiation, and extended negotiation in proactive FoF. A pretest-posttest design was employed in order to detect any improvement in participants’ vocabulary knowledge components, consisting of collocations, synonyms, derivation, and hyponymy. The results revealed that (a) participants’ vocabulary knowledge significantly improved in all the experimental groups, (b) extended negotiation was significantly superior to limited negotiation, and limited negotiation was significantly superior to no negotiation in proactive FoF, and (c) derivation was the least affected vocabulary component by the treatment. پرونده مقاله -
دسترسی آزاد مقاله
45 - The Effects of Collaborative and Individual Output Tasks on Learning English Collocations
Nasser Minaei Ghafour RezaieOne of the most problematic areas in foreign language learning is collocation. It is often seen as arbitrary and an overwhelming obstacle to the achievement of nativelike fluency. Current second language (L2) instruction research has encouraged the use of collaborative چکیده کاملOne of the most problematic areas in foreign language learning is collocation. It is often seen as arbitrary and an overwhelming obstacle to the achievement of nativelike fluency. Current second language (L2) instruction research has encouraged the use of collaborative output tasks in L2 classrooms. This study examined the effects of two types of output tasks (editing and cloze) on the learning of English colloca-tions. The aim was to investigate whether doing the tasks collaboratively would lead to greater gains of knowledge of the target collocations than doing them individually. The knowledge of the target colloca-tions was measured by means of a collocation knowledge test administered before and after the treatment. The results showed that collaborative output tasks led to greater collocation knowledge than individual output tasks. The results, however, showed an effect for task type in promoting the learning of the target collocations, with the cloze tasks being more effective than the editing tasks. One obvious implication is that teachers need to incorporate more collaborative output tasks into their instruction in their attempts to facilitate the acquisition of L2 collocations by the learners. پرونده مقاله -
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46 - Collocational Clashes in the Persian Translations of Tuesdays with Morrie
Roghieh Asgari Hajar KhanmohammadThis study aimed at finding features of collocational deviations in the translations of Tuesdays with Mor- rie. In this direction, categories of collocations and collocational clashes, as well as causes of collocation- al clashes were explored. The present work investig چکیده کاملThis study aimed at finding features of collocational deviations in the translations of Tuesdays with Mor- rie. In this direction, categories of collocations and collocational clashes, as well as causes of collocation- al clashes were explored. The present work investigated five Persian translations of the novel. All the books were examined completely and all possible collocational clashes were extracted. After checking with an educated native speaker and Persian dictionaries of collocations, they were categorized and tabu- lated according to the taxonomy proposed by Benson (1985). Two general conclusions were deducted at the macrostructural level: Benson‘s taxonomy could not meet all requirements and categories concerning comparison of collcational clashes in English-Persian pair; thus, the researchers added some new catego- ries to Benson‘s taxonomy. The second conclusion was that the translators after the first translator, pro- duced more collocational clashes. At the microstructural level, 249 instances of collocational clashes were extracted from the translations. The most frequent patterns of collocational clashes belonged to ―Verb + Noun‖ and ―Adjective + Noun‖ patterns, and the least frequent patterns belonged to ―Adverb + Adjec- tive‖, ―Noun + Verb (Names of Sounds)‖, ―Adverb + Adverb‖ with no examples in the corpus. The re- sults of this study could confirm the universality of collocational clashes among translations and they may be applied for pedagogical purposes in teaching the pitfalls of rendering collocations. پرونده مقاله -
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47 - Application of triangular functions for solving the vasicek model
Z. Sadati Kh. MaleknejadThis paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic چکیده کاملThis paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and$2m+2$ unknowns. Finally, the error analysis and some numerical examples are providedto demonstrate applicability and accuracy ofthis method. پرونده مقاله -
دسترسی آزاد مقاله
48 - Bernoulli collocation method with residual correction for solving integral-algebraic equations
F. MirzaeeThe principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of a چکیده کاملThe principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients. Thismethod gives an analytic solution when the exact solutions are polynomials. Also, an error analysis based on the use of the Bernoulli polynomials is provided under several mild conditions. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods. پرونده مقاله -
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49 - A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
M. Nili Ahmadabadi H. Laeli DastjerdiIn this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse m چکیده کاملIn this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radialbasis functions (RBFs) constructed on a set of disordered data. The method is a meshless method, because it is independent of the geometry of the domain and it does not require any background interpolation or approximation cells. The error analysisof the method is provided. Numerical results are presented, which confirm the theoretical prediction of the convergence behavior of the proposed method. پرونده مقاله -
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50 - An efficient method for the numerical solution of functional integral equations
M. Nili AhmadabadiWe propose an efficient mesh-less method for functional integral equations. Its convergence analysis has been provided. It is tested via a few numerical experiments which show the efficiency and applicability of the proposed method. Attractive numerical results have bee چکیده کاملWe propose an efficient mesh-less method for functional integral equations. Its convergence analysis has been provided. It is tested via a few numerical experiments which show the efficiency and applicability of the proposed method. Attractive numerical results have been obtained. پرونده مقاله -
دسترسی آزاد مقاله
51 - Jacobi Operational Matrix Approach for Solving Systems of Linear and Nonlinear Integro-Differential Equations
Khadijeh Sadri Zainab Ayati‎‎‎‎‎‎‎‎‎‎‎‎‎This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product‎. ‎The main aim is to generalize the Jacobi integral and product operationa چکیده کامل‎‎‎‎‎‎‎‎‎‎‎‎‎This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product‎. ‎The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations‎ which appear in various fields of science such as physics and engineering. ‎The Operational matrices together with the collocation method are applied to reduce the solution of these problems to the solution of a system of algebraic equations‎. ‎ Indeed, to solve the system of integro-differential equations, a fast algorithm is used for simplifying the problem under study. ‎The method is applied to solve system of linear and nonlinear Fredholm and Volterra integro-differential equations‎. ‎Illustrative examples are included to demonstrate the validity and efficiency of the presented method‎. It is further found that the absolute errors are almost constant in the studied interval. ‎Also‎, ‎several theorems related to the convergence of the proposed method‎, ‎will be presented‎‎.‎ پرونده مقاله -
دسترسی آزاد مقاله
52 - Using Chebyshev polynomial’s zeros as point grid for numerical solution of nonlinear PDEs by differential quadrature- based radial basis functions
Majid Erfanian Sajad KosariRadial Basis Functions (RBFs) have been found to be widely successful for the interpolation of scattered data over the last several decades. The numerical solution of nonlinear Partial Differential Equations (PDEs) plays a prominent role in numerical weather forecasting چکیده کاملRadial Basis Functions (RBFs) have been found to be widely successful for the interpolation of scattered data over the last several decades. The numerical solution of nonlinear Partial Differential Equations (PDEs) plays a prominent role in numerical weather forecasting, and many other areas of physics, engineering, and biology. In this paper, Differential Quadrature (DQ) method- based RBFs are applied to find the numerical solution of the linear and nonlinear PDEs. The multiquadric (MQ) RBFs as basis function will introduce and applied to discretize PDEs. Differential quadrature will introduce briefly and then we obtain the numerical solution of the PDEs. DQ is a numerical method for approximate and discretized partial derivatives of solution function. The key idea in DQ method is that any derivatives of unknown solution function at a mesh point can be approximated by weighted linear sum of all the functional values along a mesh line. پرونده مقاله -
دسترسی آزاد مقاله
53 - On a modication of the Chebyshev collocation method for solving fractional diffiusion equation
Hosein jalebbonab Hojatollah AdibiIn this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations.The fractional derivative is considered in the Caputo sense.The finite difference scheme and Chebyshev collocation method are used .T چکیده کاملIn this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations.The fractional derivative is considered in the Caputo sense.The finite difference scheme and Chebyshev collocation method are used .The numerical results obtained by this way have been compared with other methods.The results show the reliability and efficiency of the proposed method. پرونده مقاله -
دسترسی آزاد مقاله
54 - Approximate solution of system of nonlinear Volterra integro-differential equations by using Bernstein collocation method
Sara Davaeifar Jalil RashidiniaThis paper presents a numerical matrix method based on Bernstein polynomials (BPs) for approximate the solution of a system of m-th order nonlinear Volterra integro-differential equations under initial conditions. The approach is based on operational matrices of BPs. Us چکیده کاملThis paper presents a numerical matrix method based on Bernstein polynomials (BPs) for approximate the solution of a system of m-th order nonlinear Volterra integro-differential equations under initial conditions. The approach is based on operational matrices of BPs. Using the collocation points,this approach reduces the systems of Volterra integro-differential equations associated with the given conditions, to a system of nonlinear algebraic equations. By solving such arising non linear system, the Bernstein coefficients can be determined to obtain the finite Bernstein series approach. Numerical examples are tested and the resultes are incorporated to demonstrate the validity and applicability of the approach. Comparisons with a number of conventional methods are made in order to verify the nature of accuracy and the applicability of the proposed approach. Keywords: Systems of nonlinear Volterra integro-differential equations; The Bernstein polyno- mials and series; Collocation points. 2010 AMS Subject Classication: 34A12, 34A34, 45D05, 45G15, 45J05, 65R20. پرونده مقاله -
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55 - The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model
Atefeh Armand Zienab GouyandehThis paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a sy چکیده کاملThis paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using collocation points, we solve this system and obtain the unknown coefficients. To illustrate the ability and reliability of the method some nonlinear integro-differential equations and population models are presented. The results reveal that the method is very effective and simple. پرونده مقاله -
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56 - Numerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method
Ghasem Kazemi GelianIn this paper‎, ‎numerical solution of‎ ‎general Lane-Emden equation via collocation method based on‎ ‎Double Exponential DE transformation is considered‎. ‎The‎ ‎method converts equation to the nonlinear Volterra integral‎ &l چکیده کاملIn this paper‎, ‎numerical solution of‎ ‎general Lane-Emden equation via collocation method based on‎ ‎Double Exponential DE transformation is considered‎. ‎The‎ ‎method converts equation to the nonlinear Volterra integral‎ ‎equation‎. ‎Numerical examples show the accuracy of the method.‎ ‎Also‎, ‎some remarks with respect to run-time‎, computational cost‎ ‎and implementation are discussed. پرونده مقاله -
دسترسی آزاد مقاله
57 - A Numerical Solution for 2D-Nonlinear Fredholm Integral Equations Based on Hybrid Functions Basis
Maryam Mohammadi A. Zakeri Majid Karami Narges Taheri Raheleh NouraeiThis work considers a numerical method based on the 2D-hybrid block-pulse functions and normalized Bernstein polynomials to solve 2D-nonlinear Fredholm integral equations of the second type. These problems are reduced to a system of nonlinear algebraic equations and sol چکیده کاملThis work considers a numerical method based on the 2D-hybrid block-pulse functions and normalized Bernstein polynomials to solve 2D-nonlinear Fredholm integral equations of the second type. These problems are reduced to a system of nonlinear algebraic equations and solved by Newton's iterative method along with the numerical integration and collocation methods. Also, the convergence theorem for this algorithm is proved. Finally, some numerical examples are given to show the effectiveness and simplicity of the proposed method. پرونده مقاله -
دسترسی آزاد مقاله
58 - SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
A. Lamnii H. MraouiThe spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique. پرونده مقاله -
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59 - B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION
J. Rashidinia F. Esfahani S. JamalzadehWe develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method چکیده کاملWe develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach. پرونده مقاله -
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60 - SOLVING SINGULAR ODES IN UNBOUNDED DOMAINS WITH SINC-COLLOCATION METHOD
H. Pourbashash H. Kheiri J. AkbarfamSpectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular p چکیده کاملSpectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular point successfully. In this paper, we apply the sinc-collocation method for solving singular initial value problems. The ability of the sinc-collocation method in overcoming the singular points difficulties makes it an efficient method in dealing with these equations. We use numerical examples to highlight efficiency of sinc-collocation method in problems with singularity in equations. پرونده مقاله -
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61 - SPLINE COLLOCATION FOR NONLINEAR FREDHOLM INTEGRAL EQUATIONS
Z. Mahmoodi J. Rashidinia E. BabolianThe collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the int چکیده کاملThe collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the integrand. Convergence analysis has been investigated and proved that the quadrature rule is third order convergent. The presented method is tested with four examples, and the errors in the solution are compared with the existing methods [1, 2, 3, 4] to verify the accuracy and convergent nature of proposed methods. The RMS errors in the solutions are tabulated in table 3 which shows that our method can be applied for large values of n, but the maximum n which has been used by the existing methods are only n = 10, moreover our method is accurate and stable for different values of n. پرونده مقاله -
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62 - THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S
S. S. Mirshojaei S. FayazzadehIn this paper, we apply the compare the collocation methods of meshfree RBF over differential equation containing partial derivation of one dimension time dependent with a compound boundary nonlocal condition.In this paper, we apply the compare the collocation methods of meshfree RBF over differential equation containing partial derivation of one dimension time dependent with a compound boundary nonlocal condition. پرونده مقاله -
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63 - APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM
J. Rashidinia N. TaherIn this work, we study the performance of the sinc-Collocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained re چکیده کاملIn this work, we study the performance of the sinc-Collocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with پرونده مقاله -
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64 - Convergence of collocation Bernoulli wavelet method in solving nonlinear Fredholm integro-differential equations of fractional order
Abdolali Rooholahi Saeed AkhavanWe provide a computer method for solving fractional order nonlinear Fredholm integro-differential equations in this study. This method transforms the core issue into a set of algebraic equations using Bernoulli wavelets. The operational Bernoulli wavelet with fractional چکیده کاملWe provide a computer method for solving fractional order nonlinear Fredholm integro-differential equations in this study. This method transforms the core issue into a set of algebraic equations using Bernoulli wavelets. The operational Bernoulli wavelet with fractional integration is obtained and used. It works particularly well for technical applications. The convergence of the suggested strategy is the most crucial aspect to note here. The collocation approach for this issue has a unique approximation since these requirements can be shown using mathematical principles and matrices theory. Finally, some pertinent examples for which the exact solution is known are used in numerical simulation to confirm the effectiveness and relevance. Alternatively, these examples will demonstrate the viability and correctness of the suggested approach. We provide a computer method for solving fractional order nonlinear Fredholm integro-differential equations in this study. This method transforms the core issue into a set of algebraic equations using Bernoulli wavelets. The operational Bernoulli wavelet with fractional integration is obtained and used. It works particularly well for technical applications. The convergence of the suggested strategy is the most crucial aspect to note here. The collocation approach for this issue has a unique approximation since these requirements can be shown using mathematical principles and matrices theory. Finally, some pertinent examples for which the exact solution is known are used in numerical simulation to confirm the effectiveness and relevance. Alternatively, these examples will demonstrate the viability and correctness of the suggested approach. پرونده مقاله -
دسترسی آزاد مقاله
65 - Analysis of Linear Two-Dimensional Equations by Hermitian Meshfree Collocation Method
محمدامین بهرامی مهرداد فروتنMeshfree Collocation Method is used to solve linear two-dimensional problems. This method differs from weak form methods such as Galerkin method and no cellular networking and no numerical integration. Therefore, this method has no constraints such as the integration ac چکیده کاملMeshfree Collocation Method is used to solve linear two-dimensional problems. This method differs from weak form methods such as Galerkin method and no cellular networking and no numerical integration. Therefore, this method has no constraints such as the integration accuracy and the integration CPU time, and equations can be isolated directly from the strong form of governing PDE. The fundamental problem of this method is unstable solution especially in the case, including derivative boundary conditions. In this paper hermite type shape functions are used to impose boundary conditions. These shape functions have improved the solution accuracy. also, In this paper effects of various parameters such as type weight functions, order based vector, dilation parameter, distribution nodal on the solution accuracy have been studied. پرونده مقاله
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