IJPAM: Volume 41, No. 5 (2007)

A FINITE DIFFERENCE SCHEME FOR COMBINED
KdV-MKdV EQUATION

Xiaohong Zhao$^1$, Desheng Li$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Yanshan University
Hebei Province, Qinhuangdao, 066004, P.R. CHINA
$^2$e-mail: dsl_6638@163.com


Abstract.In this paper, a finite difference method for a Cauchy problem of combined KdV-MKdV equation was considered. An energy conservative finite difference scheme was proposed. Convergence and stability of the difference solution were proved. Therefore, this method is efficient and reliable.

Received: August 8, 2007

AMS Subject Classification: 65M06

Key Words and Phrases: combined KdV-MKdV equation, finite difference scheme, convergence, stability

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 5