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Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 دی 1399 اصل مقاله (338.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.42106.1818 | ||
| نویسندگان | ||
Kazeem Issa  1؛ Babatunde M. Yisa2؛ Jafar Biazar 3
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| 1Department of Statistics and Mathematical Sciences, Kwara State University Malete, Nigeria | ||
| 2Department of Mathematics, University of Ilorin, Ilorin Nigeria | ||
| 3University of Guilan, Faculty of Mathematical Sciences Applied Mathematics Dep. | ||
| چکیده | ||
| This paper is concerned with numerical approach for solving space fractional diffusion equation using shifted Gegenbauer polynomials, where the fractional derivatives are expressed in Caputo sense. The properties of Gegenbauer polynomials are exploited to reduce space fractional diffusion equation to a system of ordinary differential equations, that are then solved using finite difference method. Some selected numerical simulations of space fractional diffusion equations are presented and the results are compared with the exact solution, also with the results obtained via other methods in the literature. The comparison reveals that the proposed method is reliable, effective and accurate. All the computations were carried out using Matlab package. | ||
| کلیدواژه‌ها | ||
| Gegenbauer polynomial؛ Caputo derivative؛ fractional diffusion equation؛ finite difference method | ||
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آمار تعداد مشاهده مقاله: 74 تعداد دریافت فایل اصل مقاله: 87 |
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