|
|||||
|
|
The Sinc–Legendre collocation method for a class of fractional convection–diffusion equations with variable coefficients |
|
| Authors: | Abbas Saadatmandi Mehdi Dehghan Mohammad-Reza Azizi |
| Institution: | 1. State Key Laboratory of Safety and Control for Chemicals, Qingdao, Shandong, China;2. School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, China;3. Xiamen Taihang Technology Co., Ltd, Xiamen, Fujian 361000, China;4. SINOPEC Research Institute of Safety Engineering, Qingdao, Shandong, China;1. Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran;2. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15914, Iran;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
| Abstract: | This paper deals with the numerical solution of classes of fractional convection–diffusion equations with variable coefficients. The fractional derivatives are described based on the Caputo sense. Our approach is based on the collocation techniques. The method consists of reducing the problem to the solution of linear algebraic equations by expanding the required approximate solution as the elements of shifted Legendre polynomials in time and the Sinc functions in space with unknown coefficients. The properties of Sinc functions and shifted Legendre polynomials are then utilized to evaluate the unknown coefficients. Several examples are given and the numerical results are shown to demonstrate the efficiency of the newly proposed method. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |