Conservative Linear Difference Scheme for Rosenau-KdV Equation

被引：50

作者：

Hu, Jinsong ^{[1
]}

Xu, Youcai ^{[2
]}

Hu, Bing ^{[2
]}

机构：

[1] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2013年 / 2013卷

关键词：

NUMERICAL-METHOD; SOLITONS;

D O I：

10.1155/2013/423718

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.

引用

页数：7

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