An approximation scheme for the time fractional convection-diffusion equation

被引：31
|
作者：
Zhang, Juan [1 ]
Zhang, Xindong [1 ]
Yang, Bohui [1 ]
机构：
[1] Xinjiang Normal Univ, Coll Math Sci, Urumqi 830017, Xinjiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 335卷
关键词：
Time fractional convection-diffusion equation; Caputo derivative; Stability; Convergence; Finite difference method; FINITE-ELEMENT-METHOD; PARTIAL-DIFFERENTIAL-EQUATION; NONLINEAR SOURCE-TERM; SPACE;
D O I：
10.1016/j.amc.2018.04.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discrete form is proposed for solving time fractional convection-diffusion equation. Firstly, we obtain a time discrete scheme based on finite difference method. Secondly, we prove that the time discrete scheme is unconditionally stable, and the numerical solution converges to the exact one with order O(tau(2-infinity)), where tau is the time step size. Finally, two numerical examples are proposed respectively, to verify the order of convergence. (C) 2018 Elsevier Inc. All rights reserved.
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页码：305 / 312
页数：8
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