Average implicit linear difference scheme for generalized Rosenau-Burgers equation

被引：23

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

页码：7557 / 7563

页数：7

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