A New Conservative Difference Scheme for the General Rosenau-RLW Equation

被引：60
|
作者：
Zuo, Jin-Ming [1 ]
Zhang, Yao-Ming [1 ]
Zhang, Tian-De [2 ]
Chang, Feng [2 ]
机构：
[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2010年
基金：
中国国家自然科学基金;
关键词：
NONLINEAR SCHRODINGER-EQUATION; KLEIN-GORDON EQUATION; SYSTEM;
D O I：
10.1155/2010/516260
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.
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收藏
页数：13
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