Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

被引：278
|
作者：
Wang, Zhibo [1 ]
Vong, Seakweng [1 ]
机构：
[1] Univ Macau, Dept Math, Taipa, Macau, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 277卷
关键词：
Modified anomalous fractional sub-diffusion equation; Fractional diffusion-wave equation; Compact difference scheme; Weighted and shifted Grunwald difference operator; NEUMANN BOUNDARY-CONDITIONS; HIGH SPATIAL ACCURACY; NONLINEAR SOURCE-TERM; SUBDIFFUSION EQUATION; NUMERICAL-METHODS; HIGH-ORDER; APPROXIMATIONS; STABILITY; ALGORITHM;
D O I：
10.1016/j.jcp.2014.08.012
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, compact finite difference schemes for the modified anomalous fractional sub-diffusion equation and fractional diffusion-wave equation are studied. Schemes proposed previously can at most achieve temporal accuracy of order which depends on the order of fractional derivatives in the equations and is usually less than two. Based on the idea of weighted and shifted Grunwald difference operator, we establish schemes with temporal and spatial accuracy order equal to two and four respectively. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 15
页数：15
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