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

被引：0
|
作者：
Jin-Ming Zuo
Yao-Ming Zhang
Tian-De Zhang
Feng Chang
机构：
[1] Shandong University of Technology,School of Science
[2] Shandong University,School of Mathematics
来源：
Boundary Value Problems | / 2010卷
关键词：
Difference Scheme; Fixed Point Theorem; Truncation Error; Discrete Function; Discrete Energy;
D O I：
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学科分类号：
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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