TY - JOUR ID - 7390 TI - Numerical solution of Convection-Diffusion equations with memory term based on sinc method JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Fahim, Atefeh AU - Fariborzi Araghi, Mohammad Ali AD - Department of Mathematics, Faculty of Sciences, Central Tehran Branch, Islamic Azad University, Tehran, Iran AD - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran Y1 - 2018 PY - 2018 VL - 6 IS - 3 SP - 380 EP - 395 KW - Partial integro-differential equation KW - Sinc Collocation method KW - finite difference method KW - Product trapezoidal integration rule KW - Convection-diffusion equation DO - N2 - ‎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. UR - https://cmde.tabrizu.ac.ir/article_7390.html L1 - https://cmde.tabrizu.ac.ir/article_7390_cb736ecdd13c490d00da7cbcecfc275e.pdf ER -