IJPAM: Volume 71, No. 4 (2011)

A CONSERVATIVE FINITE DIFFERENCE SCHEME FOR
THE GENERALIZED ROSENAU EQUATION

Min Wang$^1$, Desheng Li$^2$, Peng Cui$^3$
$^{1,2,3}$School of Mathematics and System Science
Shenyang Normal University
Shenyang, P.R. CHINA


Abstract. In this paper, a finite difference scheme of the generalized Rosenau equation is proposed. Existence and uniqueness of numerical solution are proved. The convergent in the order of is showed. Numerical simulations show the method is efficient.

Received: December 7, 2010

AMS Subject Classification: 65M06

Key Words and Phrases: finite difference scheme, conservation, solvability, convergence

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 4