Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

被引：41

作者：

Vong, Seakweng ^{[1
]}

Wang, Zhibo ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Av Padre Tomas Pereira Taipa, Taipa, Macao, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2014年 / 6卷 / 04期

关键词：

Fourth-order fractional subdiffusion equation; compact difference scheme; energy method; stability; convergence; DIFFUSION-WAVE EQUATION; CALCULUS;

D O I：

10.4208/aamm.2014.4.s1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the unknown function and its first-order derivative are given at the boundary. The scheme is shown to have high order convergence. Numerical examples are given to verify the theoretical results.

引用

页码：419 / 435

页数：17

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