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.
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页码：8917 / 8924
页数：8
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