A linear finite difference scheme for generalized time fractional Burgers equation

被引：120

作者：

Li, Dongfang ^{[1
,2
]}

Zhang, Chengjian ^{[1
]}

Ran, Maohua ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 11-12期

关键词：

Generalized time fractional Burgers equation; Finite difference method; Stability; Convergence; ANOMALOUS SUBDIFFUSION EQUATION; HOMOTOPY ANALYSIS METHOD; NONLINEAR SOURCE-TERM; DIFFUSION EQUATION; NUMERICAL-SOLUTIONS; WAVES;

D O I：

10.1016/j.apm.2016.01.043

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with the numerical solutions of the generalized time fractional burgers equation. We propose a linear implicit finite difference scheme for solving the equation. Iterative methods become dispensable. As a result, the computational cost can be significantly reduced compare to the usual implicit finite difference schemes. Meanwhile, the finite difference method is proved to be unconditional globally stable and convergent. Numerical examples are shown to demonstrate the accuracy and stability of the method. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：6069 / 6081

页数：13

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