Gegenbauer spectral method for time-fractional convection-diffusion equations with variable coefficients

被引：47
|
作者：
Izadkhah, Mohammad Mahdi [1 ]
Saberi-Nadjafi, Jafar [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Appl Math, Mashhad, Iran
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 15期
关键词：
spectral methods; Gegenbauer polynomials; Caputo derivative; time-fractional diffusion equations; FINITE-DIFFERENCE APPROXIMATIONS; NUMERICAL-SOLUTION; HIGH-ORDER; CALCULUS; SPACE; TRANSPORT;
D O I：
10.1002/mma.3289
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the numerical solution to time-fractional partial differential equations with variable coefficients that involve temporal Caputo derivative. A spectral method based on Gegenbauer polynomials is taken for approximating the solution of the given time-fractional partial differential equation in time and a collocation method in space. The suggested method reduces this type of equation to the solution of a linear algebraic system. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of the proposed method. Copyright (C) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码：3183 / 3194
页数：12
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