A new finite difference scheme for the Rosenau-Burgers equation

被引：26
|
作者：
Pan, Xintian [1 ]
Zhang, Luming [2 ]
机构：
[1] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期
关键词：
Rosenau-Burgers equation; Finite difference method; Solvability; Convergence; Stability;
D O I：
10.1016/j.amc.2012.02.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a linear-implicit finite difference scheme is given for the initial-boundary problem of Rosenau-Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions has been shown. A priori estimate and second-order convergence of the finite difference approximate solution are discussed using energy method. Numerical results demonstrate that the scheme is efficient and accurate. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：8917 / 8924
页数：8
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