A fully discrete difference scheme for a diffusion-wave system

被引：0
|
作者：
Sun, ZZ [1 ]
Wu, XN
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2006年 / 56卷 / 02期
关键词：
diffusion-wave system; finite difference; convergence; solvability; stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A fully discrete difference scheme is derived for a diffusion-wave system by introducing two new variables to transform the original equation into a low order system of equations. The solvability, stability and L-infinity convergence are proved by the energy method. Similar results are provided for a slow diffusion system. A numerical example demonstrates the theoretical results. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：193 / 209
页数：17
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