A finite difference scheme for generalized regularized long-wave equation

被引：96

作者：

Zhang, LM ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 02期

基金：

美国国家科学基金会;

关键词：

GRLW equation; finite difference scheme; convergence; stability;

D O I：

10.1016/j.amc.2004.09.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a finite difference method for a Cauchy problem of generalized regularized long-wave (GRLW) equation was considered. An energy conservative finite difference scheme was proposed. Convergence and stability of the difference solution were proved. Numerical results demonstrate that the method is efficient and reliable. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：962 / 972

页数：11

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