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Numerical solution of Convection-Diffusion equations with memory term based on sinc method | ||
| Computational Methods for Differential Equations | ||
| مقاله 9، دوره 6، شماره 3، مهر 2018، صفحه 380-395 اصل مقاله (195.04 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Atefeh Fahim1؛ Mohammad Ali Fariborzi Araghi* 2 | ||
| 1Department of Mathematics, Faculty of Sciences, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Partial integro-differential equation؛ Sinc Collocation method؛ finite difference method؛ Product trapezoidal integration rule؛ Convection-diffusion equation | ||
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آمار تعداد مشاهده مقاله: 488 تعداد دریافت فایل اصل مقاله: 503 |
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