A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

被引：28

作者：

Wang, Zhibo ^{[1
]}

Vong, Seakweng ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Macau, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 05期

关键词：

65M12; 65M15; 65M06; 35R11; convergence; finite difference scheme; weighted and shifted Grunwald difference operator; compact ADI scheme; fractional diffusion-wave equation;

D O I：

10.1080/00207160.2014.915960

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a compact alternating direction implicit finite difference scheme for the two-dimensional time fractional diffusion-wave equation is developed, with temporal and spatial accuracy order equal to two and four, respectively. The second-order accuracy in the time direction has not been achieved in previous studies.

引用

页码：970 / 979

页数：10

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