Numerical solution of Convection-Diffusion equations with memory term based on sinc method

‎In this paper‎, ‎we study the numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value conditions‎. ‎Finite difference method in combination with product trapezoidal integration rule is used to discretize the equation in time and sinc collocation method is employed in space‎. ‎The accuracy and error analysis of the method are discussed‎. ‎Numerical examples and illustrations are presented to prove the validity of the suggested method‎.

Keywords:

Partial integro-differential equation , Sinc Collocation method , finite difference method , Product trapezoidal integration rule , Convection-diffusion equation

Authors

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Department of Mathematics, Faculty of Sciences, Central Tehran Branch, Islamic Azad University, Tehran, Iran

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Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

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https://civilica.com/doc/1598096

شناسه ملی سند علمی:

JR_CMDE-6-3_009

تاریخ نمایه سازی: 15 بهمن 1401

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Ranking of Islamic Azad University of Central Tehran

Type of center: Azad University

Paper count: 22,594

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