A second-order scheme for a time-fractional diffusion equation

被引：5

作者：

Cen, Zhongdi ^{[1
]}

Huang, Jian ^{[1
]}

Le, Anbo ^{[1
]}

Xu, Aimin ^{[1
]}

机构：

[1] Zhejiang Wanli Univ, Inst Math, Ningbo, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 90卷

关键词：

Fractional differential equation; Caputo derivative; Singularity; Graded mesh;

D O I：

10.1016/j.aml.2018.10.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reaction-diffusion problem with a Caputo time derivative is considered. An integral discretization scheme on a graded mesh along with a decomposition of the exact solution is proposed. It is shown that the scheme is second-order convergent, which exhibits an enhancement in the convergence rate compared with the L1 schemes. Numerical experiments are presented to support the theoretical result. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：79 / 85

页数：7

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