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1 - The quantum fluctuations of charge and current in a driven nonlinear LC-circuit with a linear capacitor and a nonlinear inductor
Ameneh Zamani Hasan PahlavaniA nonlinear soft-core ferrite (ferromagnetic material) inductor that obeys of a polynomial current-magnetic flux relationship (typically a power series in the magnetic flux) is introduced. The quantum Hamiltonian of a nonlinear LC-circuit consisting of a linear capacito أکثرA nonlinear soft-core ferrite (ferromagnetic material) inductor that obeys of a polynomial current-magnetic flux relationship (typically a power series in the magnetic flux) is introduced. The quantum Hamiltonian of a nonlinear LC-circuit consisting of a linear capacitor and a nonlinear inductor under the influence of an external field is found. The energy spectrum is obtained and the quantum behavior of the nonlinear coefficients is studied numerically. The quantum fluctuations of electric charge and current are obtained as a function of the characteristic parameters then the time-dependent of the characteristic parameters and the digger squeezing is analyzed by numerical approach. تفاصيل المقالة -
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2 - Impact of p-type semiconductor substrate on the transient response of metal-semiconductor-metal photodetector
Ali Barkhordari Hamid Mashayekhi Şemsettin Altındal Süleyman Özçelik Yashar Azizian-KalandaraghIn this paper, using finite difference method, the effect of adding a p-layer at the back of a metal-semiconductor-metal (MSM) photodetector (PD) on the spatial electric charge distribution and the transient response of the device is numerically studied. To this aim, th أکثرIn this paper, using finite difference method, the effect of adding a p-layer at the back of a metal-semiconductor-metal (MSM) photodetector (PD) on the spatial electric charge distribution and the transient response of the device is numerically studied. To this aim, the fundamental equations of the semiconductor device, i.e., two current continuity time-dependent equations have been considered coupled with Poisson's equation. The I-V curve of the MSM photodetector is obtained as the main characteristics of each semiconductor device. Moreover, the variations of electrostatic potential, electron and hole concentrations are determined in the MSM photodetector with a p-layer at the back of the active layer. It is observed that the peak transient response of an MSM device is improved by back-gating the device as more electrons are injected to the semiconductor layer and the slower charge carriers (the holes) to be removed from the top circuit. تفاصيل المقالة -
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3 - Unsteady isothermal flow behind a magnetogasdynamic shock wave in a self-gravitating gas with exponentially varying density
G. NathAbstractThe propagation of spherical (or cylindrical) shock wave in an ideal gas with or without gravitational effects in the presence of a constant azimuthal magnetic field is investigated. Non-similarity solutions are obtained for isothermal flow between the shock and أکثرAbstractThe propagation of spherical (or cylindrical) shock wave in an ideal gas with or without gravitational effects in the presence of a constant azimuthal magnetic field is investigated. Non-similarity solutions are obtained for isothermal flow between the shock and the piston. The numerical solutions are obtained using the Runge–Kutta method of the fourth order. The density of the gas is assumed to be varying and obeying an exponential law. The shock wave moves with variable velocity, and the total energy of the wave is non-constant and varies with time. The effects of variation of the Alfven-Mach number, gravitational parameter and time are obtained. It is investigated that the presence of gravitational field reduces the effect of the magnetic field. Also, the presence of gravitational field increases the compressibility of the medium, due to which it is compressed and, therefore, the distance between the inner contact surface and the shock surface is reduced. The shock waves in conducting perfect gas can be important for description of shocks in supernova explosions, in the study of central part of star burst galaxies, nuclear explosion, rupture of a pressurized vessel and explosion in the ionosphere. Other potential applications of this study include analysis of data from exploding wire experiments and cylindrically symmetric hypersonic flow problems associated with meteors or re-entry vehicles etc. A comparison is made between the solutions in the cases of the gravitating and the non-gravitating medium with or without magnetic field. The obtained solutions are applicable for arbitrary values of time. تفاصيل المقالة -
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4 - حل عددی معادلات انتگرال جبری ولترا با روش بسط تیلور
عزیزاله باباخانی الهام انتقامی حسن حسین زادهدر این مقاله با بکارگیری بسط تیلور حل عددی یک دستگاه از معادلات انتگرال جبری تشریح می گردد. این دستگاه معادلات انتگرال جبری شامل تابع مجهول و مشتقاتش می باشد. همچنین تحت شرایطی همگرایی جواب حاصل از این روش به جواب دقیق دستگاه اثبات شده و ضمنا چند مثال برای توصیف این روش أکثردر این مقاله با بکارگیری بسط تیلور حل عددی یک دستگاه از معادلات انتگرال جبری تشریح می گردد. این دستگاه معادلات انتگرال جبری شامل تابع مجهول و مشتقاتش می باشد. همچنین تحت شرایطی همگرایی جواب حاصل از این روش به جواب دقیق دستگاه اثبات شده و ضمنا چند مثال برای توصیف این روش در تعیین جواب عددی آن و دقت روش مذکور ارائه گردیده است.در این مقاله با بکارگیری بسط تیلور حل عددی یک دستگاه از معادلات انتگرال جبری تشریح می گردد. این دستگاه معادلات انتگرال جبری شامل تابع مجهول و مشتقاتش می باشد. همچنین تحت شرایطی همگرایی جواب حاصل از این روش به جواب دقیق دستگاه اثبات شده و ضمنا چند مثال برای توصیف این روش در تعیین جواب عددی آن و دقت روش مذکور ارائه گردیده است.در این مقاله با بکارگیری بسط تیلور حل عددی یک دستگاه از معادلات انتگرال جبری تشریح می گردد. این دستگاه معادلات انتگرال جبری شامل تابع مجهول و مشتقاتش می باشد. همچنین تحت شرایطی همگرایی جواب حاصل از این روش به جواب دقیق دستگاه اثبات شده و ضمنا چند مثال برای توصیف این روش در تعیین جواب عددی آن و دقت روش مذکور ارائه گردیده است. تفاصيل المقالة -
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5 - جواب تقریبی معادلات دیفرانسیل فازی مرتبه اول تحت مشتق تعمیم یافته
توفیق الهویرنلو نازنین احمدی الهام احمدیدر این تحقیق یک روش عددی به صورت تقریب قطعه­ای برای حل معادلات دیفرانسیل فازی معرفی می­گردد. در این روش جواب مساله با یک قطعه­ای چندجمله­ای از درجه سه در هر زیر بازه از جواب بیان می­گردد.مبنای روش، استفاده از بسط تیلور فازی تابع حول مقدار اولیه مساله أکثردر این تحقیق یک روش عددی به صورت تقریب قطعه­ای برای حل معادلات دیفرانسیل فازی معرفی می­گردد. در این روش جواب مساله با یک قطعه­ای چندجمله­ای از درجه سه در هر زیر بازه از جواب بیان می­گردد.مبنای روش، استفاده از بسط تیلور فازی تابع حول مقدار اولیه مساله معادلات دیفرانسیل فازی می­باشد. وجود، یکتایی جواب و همچنین سرعت همگرایی روش تقریبی مورد بررسی قرار می­گیرد. همچنین نشان داده می­شود که روش معرفی شده در مقایسه با روش اویلر [1] برای حل معادلات دیفرانسیل فازی تحت مشتق تعمیم یافته دارای دقت بیشتری می­باشد. تفاصيل المقالة -
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6 - تحلیل پایداری یک مدل مرتبه کسری از ویروس HIV و عفونت ایدز در جامعه
محمدصادق شاهرخی دهکردی یاسمن احمدیدر این مقاله یک مدل غیرخطی از مرتبه کسری برای تحلیل و کنترل گسترش ویروس HIV ارائه شده و سپس نقاط تعادل آن که به نقطه تعادل بدون بیماری و نقطه تعادل عفونت شناخته می­شوند یافت می­شوند و پایداری آن‌ها مورد بحث قرار می­گیرد. شاخص انتقال یا عدد مولد & أکثردر این مقاله یک مدل غیرخطی از مرتبه کسری برای تحلیل و کنترل گسترش ویروس HIV ارائه شده و سپس نقاط تعادل آن که به نقطه تعادل بدون بیماری و نقطه تعادل عفونت شناخته می­شوند یافت می­شوند و پایداری آن‌ها مورد بحث قرار می­گیرد. شاخص انتقال یا عدد مولد که تابعی از پارامترهای ثابت موجود در مدل است، نقش مهمی در پایداری مدل فوق ایفا می‌کند. به عبارتی دقیق­تر زمانی که ، نقطه تعادل بدون بیماری جاذب است. در مقابل وقتی که ، ناپایدار و نقطه تعادل عفونت وجود دارد و جاذب خواهد بود. در پایان نیز چند مثال عددی برای بررسی تاثیر پارامترهای موجود در مدل بر گسترش بیماری بیان میشود. تفاصيل المقالة -
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7 - Numerical solution for one-dimensional independent of time Schrödinger Equation
Z. Yousefian N. ShadmaniIn this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case أکثرIn this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison of the result obtained by the numerical solutions withthose obtained via the analytical solutions. The agreement between the results obtained by analyticalsolution method and numerical solution is represents the top Numerov method for numerical solutionSchrodinger equation with different potentials energy. تفاصيل المقالة -
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8 - Investigation of analytical and numerical solutions for one-dimensional independent-oftime Schrödinger Equation
Z. Yousefian Molla Gh. IslampourIn this paper, the numerical solution methods of one- particale, one dimensional time- independentSchrodinger equation are presented that allows one to obtain accurate bound state eigen values andeigen functions for an arbitrary potential energy function V(x). These me أکثرIn this paper, the numerical solution methods of one- particale, one dimensional time- independentSchrodinger equation are presented that allows one to obtain accurate bound state eigen values andeigen functions for an arbitrary potential energy function V(x). These methods included the FEM(Finite Element Method), Cooly, Numerov and others. Here we considered the Numerov method inmore details. For this purpose, we first reformulated the Shrodinger equation using dimensionlessvariables, the estimating the initial and final values of the reduced variable xr and the value ofintervals sr, and finally making use of Q-Basic or Spread Sheet computer programs to numericallysolved the equation. For each case, we drew the eigen functions versus the related reduced variablefor the corresponding energies. The harmonic oscillator, the Morse potential, and the H-atom radialSchrodinger equation, … were the examples considered for the method. The paper ended with acomparison of the result obtained by the numerical solutions with those obtained via the analyticalsolutions. The agreement between the results obtained by analytical solution method and numericalsolution for some Potential functions harmonic oscillator̕ Morse was represents the top Numerovmethod for numerical solution Schrodinger equation with different potentials energy. تفاصيل المقالة -
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9 - ارایه مدل ریاضی به منظور بررسی فرآیند گیاه پالایی خاک های آلوده به مواد نفتی
فراز منتظرالصدق رضا عزتیان سهیلا یغماییدر سال های اخیر استفاده از گیاهان به منظور پالایش خاک های آلوده به مواد نفتی بسیار مورد توجه قرار گرفته است. با وجود آن که در این راستا کوشش های آزمایشگاهی و تجربی زیادی صورت پذیرفته، امااین کوشش ها بر اساس پیش بینی های تحلیلی ومدل سازی ریاضی نبوده است. مفاهیم نظری این أکثردر سال های اخیر استفاده از گیاهان به منظور پالایش خاک های آلوده به مواد نفتی بسیار مورد توجه قرار گرفته است. با وجود آن که در این راستا کوشش های آزمایشگاهی و تجربی زیادی صورت پذیرفته، امااین کوشش ها بر اساس پیش بینی های تحلیلی ومدل سازی ریاضی نبوده است. مفاهیم نظری این پدیده، از نقطه نظر بررسی تاثیر هر یک ازمتغیر های موثر بر فرایند، دارای اهمیت می باشد. بررسی حاضر تلاشی در راستای شناسایی و تعیین اثر هریک از متغیرهای مورد اشاره در پدیده گیاه پالایی می باشد. با تلفیق معادلات پیوستگی و انتقال جرم، یک مدل ریاضی به روش اختلاف متناهی معرفی می شود و با حل عددی یک تجربه گیاه پالایی با استفاده از گیاه پنبه دانه، علاوه بر تشریح تاثیر پارامترهای زمان، ویزگی های ریشه، طول عمر گیاه،جمعیت های میکروبی وغلظت هیدروکربن، مطابقت تجربهومدل نشان داده شده است. تفاصيل المقالة -
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10 - Stagnation-point flow of a viscous fluid towards a stretching surface with variable thickness and thermal radiation
B. C. Prasanna ‎Kumara ‎‎G. K‎. ‎ ‎Ramesh‎ A. J. Chamkha‎ B. J. ‎Gireesha‎‎‎In the present analysis‎, ‎we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface‎. ‎The effects of variable thickness and radiation are also taken into account an أکثر‎In the present analysis‎, ‎we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface‎. ‎The effects of variable thickness and radiation are also taken into account and assumed that the sheet is non-flat‎. ‎Using suitable transformations‎, ‎the governing partial differential equations are first converted to ordinary one and then solved numerically by fourth and fifth order Runge-Kutta-Fehlberg method with shooting technique‎. ‎The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail‎. ‎Comparison of the present results with known numerical results is shown and a good agreement is observed‎. ‎It is found that boundary layer is formed when $\lambda > 1 $‎. ‎On the other hand‎, ‎an inverted boundary layer is formed when $\lambda < 1 $‎.‎ تفاصيل المقالة -
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11 - A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
E. Ahmady N. AhmadyIn this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investi أکثرIn this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are ‎shown.‎ تفاصيل المقالة -
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12 - MHD boundary layer heat and mass transfer of a chemically reacting Casson fluid over a permeable stretching surface with non-uniform heat source/sink
B. J. Gireesha‎ B. Mahanthesh‎ M. M. Rashidi‎The heat and mass transfer analysis for MHD Casson fluid boundary layer flow over a permeable stretching sheet through a porous medium is carried out. The effect of non-uniform heat generation/absorption and chemical reaction are considered in heat and mass transport eq أکثرThe heat and mass transfer analysis for MHD Casson fluid boundary layer flow over a permeable stretching sheet through a porous medium is carried out. The effect of non-uniform heat generation/absorption and chemical reaction are considered in heat and mass transport equations correspondingly. The heat transfer analysis has been carried out for two different heating processes namely; the prescribed surface temperature (PST) and prescribed surface heat flux (PHF). After transforming the governing equations into a set of non-linear ordinary differential equations, the numerical solutions are generated by an efficient Runge-Kutta-Fehlberg fourth-fifth order method. The solutions are found to be dependent on physical parameters such as Casson fluid parameter, magnetic parameter, porous parameter, Prandtl and Schmidt number, heat source/sink parameter, suction/injection parameter and chemical reaction parameter. Typical results for the velocity, temperature and concentration profiles as well as the skin-friction coefficient, local Nusselt number and local Sherwood number are presented for different values of these pertinent parameters to reveal the tendency of the solutions. The obtained results are compared with earlier results with some limiting cases of the problem and found to be in good ‎agreement.‎ تفاصيل المقالة -
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13 - Two-phase Boundary Layer Flow, Heat and Mass Transfer of a Dusty Liquid past a Stretching Sheet with Thermal Radiation
K. L. Krupa ‎Lakshmi‎ B. J. ‎Gireesha‎ Rama S R Gorla B. Mahanthesh‎‎The problem of two-phase MHD boundary layer flow, heat and mass transfer over a stretching sheet with fluid-particle suspension and thermal radiation has been studied. The effect of mass transfer in dusty fluid over a stretching sheet is considered for the first ti أکثر‎The problem of two-phase MHD boundary layer flow, heat and mass transfer over a stretching sheet with fluid-particle suspension and thermal radiation has been studied. The effect of mass transfer in dusty fluid over a stretching sheet is considered for the first time. The governing equations are reduced to a set of non-linear ordinary differential equations under suitable similarity transformations. The transformed equations are then solved numerically. The influence of various physical parameters such as magnetic parameter, fluid-particle interaction parameters, Prandtl number, Eckert number and thermal radiation parameter on velocity, temperature and concentration of both fluid and particle phase is analyzed. The numerical results of the present investigation were compared with previously published results and found to be an excellent agreement. It is found that, the momentum, thermal and solute boundary layer thickness of both fluid and dust phase are reduced for higher values of mass concentration of suspended dust ‎particles. تفاصيل المقالة -
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14 - شبیه سازی و آنالیز توان و راندمان در موتور استرلینگ نوع بتا به روش عددی با تغییر شکل در بازیاب حرارتی در شرایط آدیاباتیک با مبدل های ایده آل
علیرضا احمدپور نادر رهبر هادی کارگر شریف آبادهدف از این مقاله، توسعه یک مدل مناسب ترمودینامیکی برای موتور استرلینگ نوع بتا، با تغییر شکل در بازیاب حرارتی است. در موتور های استرلینگ متعارف مدل بتا، جابجا کننده و پیستون توان در یک سیلندر قرار دارند و سیال عامل بین محفظه های انبساط و تراکم، از مسیر کنار گذر سیلندر، ع أکثرهدف از این مقاله، توسعه یک مدل مناسب ترمودینامیکی برای موتور استرلینگ نوع بتا، با تغییر شکل در بازیاب حرارتی است. در موتور های استرلینگ متعارف مدل بتا، جابجا کننده و پیستون توان در یک سیلندر قرار دارند و سیال عامل بین محفظه های انبساط و تراکم، از مسیر کنار گذر سیلندر، عبور می کند. در تحقیق حاضر شکل جدیدی از بازیاب حرارتی برای موتور استرلینگ مدل بتا پیشنهاد شده است. در شکل جدید، لایه های همگن پی دی پی سیم های مربعی، فضای پیستون جابجا کننده را پر کرده است، بطوری که پیستون جابجایی، نقش جابجاکننده و بازیاب حرارتی را همزمان بر عهده دارد. برای این منظور، مدل سازی با استفاده از نرم افزار MATLAB انجام شده و نتایج بدست آمده با مقادیر منتشر شده، مقایسه شده است. تفاصيل المقالة -
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15 - Numerical Solution of Seismic Wave Propagation Equationin Uniform Soil on Bed Rock with Weighted Residual Method
M.H. JahangirTo evaluate the earth seismic response due to earthquake effects, ground response analyses are used to predict ground surface motions for development of design response spectra, to compute dynamic stresses and strains for evaluation of liquefaction hazards, and to deter أکثرTo evaluate the earth seismic response due to earthquake effects, ground response analyses are used to predict ground surface motions for development of design response spectra, to compute dynamic stresses and strains for evaluation of liquefaction hazards, and to determine the earthquake induced forces that can lead to instability of earth and earth-retaining structures. Most of the analytical solutions presented are affected by the defect that the stress-strain relationship must be of rather simple form (linear elastic, with perhaps linear hysteretic damping), and that the soil properties must be homogeneous. Real soils are often composed of several layers of variable properties, and often they exhibit non linear properties. Therefore, a numerical solution may be considered, because this can more easily be generalized to non-linear and non-homogeneous properties. In this paper, a simple numerical solution method is presented, again with damping property. The considerations will be restricted to one-dimensional wave propagation in a linear elastic layer which the equation of motion will be resolved with weighted residual method and the advantages of using this method will be ultimately discussed. Of course, the most important benefit of this element free approach is having a suitable approximated function for wave displacement in height of a soil layer. تفاصيل المقالة -
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16 - Optimal Control of Hand, Foot and Mouth Disease Model using Variational Iteration Method
Devipriya Ganeshan L. Jane DarneIn this paper, the optimal control of transmission dynamics of hand, foot and mouth disease (HFMD), formulated by a compartmental deterministic SEIPR (Susceptible-Incubation (Exposed)- Infected - Post infection virus shedding - Recovered) model with vaccination and trea أکثرIn this paper, the optimal control of transmission dynamics of hand, foot and mouth disease (HFMD), formulated by a compartmental deterministic SEIPR (Susceptible-Incubation (Exposed)- Infected - Post infection virus shedding - Recovered) model with vaccination and treatment as control parameters is considered. The objective function is based on the combination of minimizing the number of infected individuals and the cost involved in the interventions of vaccination given to the susceptible population and treatment given to the infected population. The existence for the optimal control pair is proved and the characterization of the optimal control pair is obtained by applying the Pontryagin's maximum principle. The variational iteration method is adopted to solve the non-linear Hamilton equations derived from the Pontryagin's maximum principle theory. These equations constitute a two-point boundary value problem. By considering the correction functionals of the Hamilton equations, the Lagrange multipliers are easily identified and practical iteration formulas are derived. An algorithm is developed, based on this formulas, to determine iteratively the solutions of the Hamilton equations with a desired accuracy. With the aid of solutions obtained, the optimal control law can be easily deduced. The results were analyzed and interpreted graphically using Maple. تفاصيل المقالة -
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17 - An explicit method for numerical solution of the equation governing the motion of a particle under arbitrary force fields
Ghiyam Eslami Masoumeh ZeinaliIn this paper, an implicit second order integro-differential equation governing unsteady motion of a solid particle submerged in a fluid medium and, affected by an arbitrary force field is solved numerically. It is assumed that the particle Reynolds number is quite smal أکثرIn this paper, an implicit second order integro-differential equation governing unsteady motion of a solid particle submerged in a fluid medium and, affected by an arbitrary force field is solved numerically. It is assumed that the particle Reynolds number is quite small to use the well-known Basset kernel for the history force. The implicitness and singularity of the equation are removed by using a hybrid quadrature rule (HQR) and a generalized quadrature rule (GQR), respectively. A recursive plan is used to reduce the required CPU time. Two schemes along with the associated numerical solution algorithms are presented. It is described how the accuracy of the method can be increased in a systematic way. The results obtained by several examples show the effectiveness of the method. تفاصيل المقالة -
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18 - ADOMIAN DECOMPOSITION METHOD AND PADÉ APPROXIMATION TO DETERMINE FIN EFFICIENCY OF CONVECTIVE SOLAR AIR COLLECTOR IN STRAIGHT FINS
Tabet Ismail M. Kezzar K. Touafe N. Bellel S. Gherieb A. Khelifa M. AdouaneIn this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin with the thermal conductivity depends on the temperature is solved using Adomian Decomposition Method and Padé approximation(PADM) for boundary أکثرIn this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin with the thermal conductivity depends on the temperature is solved using Adomian Decomposition Method and Padé approximation(PADM) for boundary problems. Actual results are then compared with results obtained previously using digital solution by Runge–Kuttamethod and a differential transformation method (DTM) in order toverify the accuracy of the proposed method. تفاصيل المقالة -
حرية الوصول المقاله
19 - Differential Quadrature Method for the Analysis of Hydrodynamic Thrust Bearings
مهدی زارع مهرجردی اصغر دشتی رحمت آبادی محمدرضا فاضلThis paper presents the application of the method of generalized differential quadrature (GDQ) for the analysis of hydrodynamic thrust bearings. GDQ is a simple, efficient, high-order numerical technique and it uses the information on all grid points to approach the der أکثرThis paper presents the application of the method of generalized differential quadrature (GDQ) for the analysis of hydrodynamic thrust bearings. GDQ is a simple, efficient, high-order numerical technique and it uses the information on all grid points to approach the derivatives of the unknown function. The effectiveness of the solution technique is verified by comparing the GDQ computed results with the results of analytical solutions, FEM and FDM results from the published literature. It's seen from the results that GDQ method can easily compete with the existing methods of solution of lubrication problems in respect to its analytical simplicity, smaller computer storage requirements and capability of producing accurate results with very high computational efficiency. تفاصيل المقالة
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