Average implicit linear difference scheme for generalized Rosenau-Burgers equation

被引：22
|
作者：
Hu, Jinsong [2 ]
Hu, Bing [1 ]
Xu, Youcai [1 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
[2] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 19期
关键词：
Generalized R-B equation; Difference scheme; Convergence; Stability;
D O I：
10.1016/j.amc.2011.02.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a linear three-level average implicit finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-Burgers equation is presented. Existence and uniqueness of numerical solutions are discussed. It is proved that the finite difference scheme is convergent in the order of O(tau(2) + h(2)) and stable. Numerical simulations show that the method is efficient. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：7557 / 7563
页数：7
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