IJPAM: Volume 71, No. 4 (2011)
THE GENERALIZED ROSENAU EQUATION
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