Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay

被引：41
|
作者：
Li, Lili [1 ,2 ]
Zhou, Boya [1 ,2 ]
Chen, Xiaoli [1 ,2 ]
Wang, Zhiyong [3 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 337卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear time fractional reaction-diffusion equations with delay; Fractional Gronwall type inequality; Stability; Convergence; Linearized numerical scheme; SCHRODINGER-EQUATIONS; SUBDIFFUSION EQUATION; GRONWALL INEQUALITY; PARABOLIC EQUATIONS; ELEMENT-METHOD; ERROR ANALYSIS; SCHEME; SYSTEMS; FEMS;
D O I：
10.1016/j.amc.2018.04.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with numerical solutions of nonlinear time fractional reaction-diffusion equations with time delay. A linearized compact finite difference scheme is proposed to solve the equations. In terms of a new developed fractional Gronwall type inequality, convergence and stability of the proposed scheme are obtained. Numerical experiments are given to illustrate the theoretical results. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：144 / 152
页数：9
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