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

Fahim, Atefeh; Fariborzi Araghi, Mohammad Ali

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

Document Type : Research Paper

Authors

¹ Department of Mathematics, Faculty of Sciences, Central Tehran Branch, Islamic Azad University, Tehran, Iran

² Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

‎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.

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