Numerical Algorithm for the Time-Caputo and Space-Riesz Fractional Diffusion Equation

被引：3

作者：

Zhang, Yuxin ^{[1
]}

Ding, Hengfei ^{[1
]}

机构：

[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 2卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Caputo derivative; Riesz derivative; Fractional diffusion equation; 65M06; 65M12; FINITE-DIFFERENCE METHOD; APPROXIMATIONS; DERIVATIVES; STABILITY; SCHEME;

D O I：

10.1007/s42967-019-00032-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a novel finite-difference scheme for the time-Caputo and space-Riesz fractional diffusion equation with convergence order O(tau 2-alpha +h2). The stability and convergence of the scheme are analyzed by mathematical induction. Moreover, some numerical results are provided to verify the effectiveness of the developed difference scheme.

引用

页码：57 / 72

页数：16

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