A compact finite difference scheme for the fourth-order fractional diffusion-wave system

被引：63

作者：

Hu, Xiuling ^{[1
,2
]}

Zhang, Luming ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China

[2] Xuzhou Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2011年 / 182卷 / 08期

关键词：

Diffusion-wave system; Compact difference scheme; Extrapolation; Solvability; Stability; Convergence; NUMERICAL-METHOD; EQUATION;

D O I：

10.1016/j.cpc.2011.04.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A high-order compact finite difference scheme combined with the temporal extrapolation technique is investigated for the fourth-order fractional diffusion-wave system in this paper. The solvability, stability and convergence of the scheme are analyzed simultaneously by the energy method. Numerical experiments show that the proposed compact scheme is more accurate and efficient than the Crank-Nicolson scheme. (C) 2011 Elsevier By. All rights reserved.

引用

页码：1645 / 1650

页数：6

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