List of Articles Numerical Solution

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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 Pahlavani
  10.57647/J.JTAP.2023.1704.36
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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-Kalandaragh
  10.57647/j.jtap.2023.1701.08
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  3 - Unsteady isothermal flow behind a magnetogasdynamic shock wave in a self-gravitating gas with exponentially varying density
  G. Nath
  10.1007/s40094-014-0131-y
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  4 - Numerical solution of Voltra algebraic integral equations by Taylor expansion method
  Azizollah Babakhani E. Enteghami H. Hosseinzade
  Algebraic integral equations is a special category of Volterra integral equations system, that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expa More

  Algebraic integral equations is a special category of Volterra integral equations system, that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expansion method. In this method, using the Taylor expansion of the unknown function, the algebraic integral equation system becomes a linear equation system of the unknown function and its derivatives. Moreover, the convergence analysis of this method will be shown by preparing some theorems. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods. Manuscript profile
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  5 - Approximated solution of First order Fuzzy Differential Equations under generalized differentiability
  T. Allahviranloo N. Ahmady E. Ahmady
  In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value More

  In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of fuzzy differential equations. The existence, uniqueness and convergence of the approximate solution are investigated. To show the advantage of method, this method is compared with the Euler method that was introduced in [۱], and it is shown this method is more accurate than Euler method for solving fuzzy differential equations under generalized differentiability. Manuscript profile
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  6 - Stability Analysis of a Fractional Order Model of HIV virus and AIDS Infection in the Community
  M. S. Shahrokhi Dehkordi Y. Ahmadi
  In this paper a non-linear model with fractional order is presented for analyzing and controlling the spread of HIV virus. Both the disease-free equilibrium and the endemic equilibrium are found and their stability is discussed. The basic reproduction number , which is More

  In this paper a non-linear model with fractional order is presented for analyzing and controlling the spread of HIV virus. Both the disease-free equilibrium and the endemic equilibrium are found and their stability is discussed. The basic reproduction number , which is a function of the constant parameters in the model, plays an essential role in the stability of the above model. In more precise expression, When the disease-free equilibrium is attractor, but when , is unstable and the endemic equilibrium exists and it is an attractor. Finally numerical simulations are also established to investigate the influence of the parameters in the model on the spread of the disease. Manuscript profile
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  7 - Numerical solution for one-dimensional independent of time Schrödinger Equation
  Z. Yousefian N. Shadmani
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  8 - Investigation of analytical and numerical solutions for one-dimensional independent-oftime Schrödinger Equation
  Z. Yousefian Molla Gh. Islampour
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  9 - Mathematical modeling for the phytoremediation of oil-contaminated soils
  Faraz Montazerolsedgh Reza Ezzatian Soheila Yaghmaei
  In recent years, the use of plants for soil remediation has been of much interest. Much effort has been put into lab work to obtain experimental data, but despite the great importance of theoretical aspect, less attention has been paid to this issue. The present study i More

  In recent years, the use of plants for soil remediation has been of much interest. Much effort has been put into lab work to obtain experimental data, but despite the great importance of theoretical aspect, less attention has been paid to this issue. The present study is an effort to investigate the theoretical and mathematical concepts governing this process. Basic definitions are presented briefly. Also, the governing mechanisms are discussed. After presenting the continuity and mass transfer equations, first the validity of the obtained equations is verified in a real example with experimental data. Then, the equations are solved numerically and the results are studied and discussed. The findings show that variables such as root length (as an index of plant species), humidity, soil texture and the other parameters, which appear in the equations, affect the process. Moreover, by the proper selection of plants, the operation provided a model which can predict the result of phytoremediation. Manuscript profile
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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. ‎Gireesha‎‎
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  11 - A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized ‎Differentiability‎
  E. Ahmady N. Ahmady
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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. Rashidi‎
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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. Mahanthesh‎
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  14 - Numerical Solution and Evaluation of Variation Power and Efficiency of Conventional and moving regenerator of Beta-type Stirling Engine In the case of Adiabatic with Exchangers Ideal
  Alireza Ahmadpour nader rahbar hadi kargar sharifabad
  The purpose of this research was to develop a thermodynamic model for engine via changing the form of regenerator. In conventional beta-type Stirling the working fluid passes between the compression and expansion space via the bypass of the main cylinder. In the present More

  The purpose of this research was to develop a thermodynamic model for engine via changing the form of regenerator. In conventional beta-type Stirling the working fluid passes between the compression and expansion space via the bypass of the main cylinder. In the present study a new form of regenerator was proposed for the beta-type Stirling engine. In this new form successive homogeneous layers of sguare wire meshes filled the space of displacer piston so that the displacer piston took the role of regenerator and displacer simultaneously. To this end modeling was done using MATLAB software and the obtained results were compared with the published values. Manuscript profile
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  15 - Numerical Solution of Seismic Wave Propagation Equation in Uniform Soil on Bed Rock with Weighted Residual Method
  M.H. Jahangir
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  16 - Optimal Control of Hand, Foot and Mouth Disease Model using Variational Iteration Method
  Devipriya Ganeshan L. Jane Darne
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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 Zeinali
  10.30495/ijm2c.2024.1999587.1287
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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. Adouane
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  19 - تحلیل عملکرد یاتاقانهای کفگرد هیدرو دینامیکی با روش درونیابی مشتق
  مهدی زارع مهرجردی اصغر دشتی رحمت آبادی محمدرضا فاضل
  روش درونیابی مشتق تعمیم یافته[1]، یک روش حل عددی مرتبه بالاست.  در این روش، برخلاف سایر روشهای عددی از مقادیر تابع آزمایشی مورد استفاده بر روی تمامی نقاط دامنه مسئله برای حدس مقادیر مشتق تابع مجهول اصلی استفاده می‌شود. از مزایای این روش می‌توان به همگرایی سریعتر نس More

  روش درونیابی مشتق تعمیم یافته[1]، یک روش حل عددی مرتبه بالاست.  در این روش، برخلاف سایر روشهای عددی از مقادیر تابع آزمایشی مورد استفاده بر روی تمامی نقاط دامنه مسئله برای حدس مقادیر مشتق تابع مجهول اصلی استفاده می‌شود. از مزایای این روش می‌توان به همگرایی سریعتر نسبت به سایر روشهای عددی موجود، نظیر روش اجزاء محدود[2] و تفاضل محدود[3] برای رسیدن به نتایج با دقت یکسان و نیز توانایی بالای این روش در حل معادلات دیفرانسیل غیرخطی حاکم بر مسائل مختلف، اشاره نمود. در این مقاله از روش درونیابی مشتق تعمیم یافته برای تحلیل عملکرد گروهی از یاتاقانهای کفگرد هیدرو دینامیکی تحت عنوان یاتاقانهای کشویی با کفشک شیب  ثابت استفاده شده است. در نهایت  نتایج  حاصل از این بررسی برای یاتاقانهای کف گرد مورد  نظر در حالتهای یک بعدی و دو‌بعدی  با نتایج حل دقیق و نتایج حاصل از سایر روشهای عددی مقایسه شده است. مقایسه در حالات مختلف، نشان دهنده برقراری تطابق خوبی بین نتایج حاصل از روش درونیابی مشتق تعمیم یافته و سایر روشهای حل عددی می‌باشد. [1]- Generalized Differential Quadrature (GDQ) Method                                                           [2]-  Finite Element Method)   FEM)   [3]-  Finite Difference Method   (FDM)  Manuscript profile