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Open Access Research Article

A New Conservative Difference Scheme for the General Rosenau-RLW Equation

Jin-Ming Zuo1*, Yao-Ming Zhang1, Tian-De Zhang2 and Feng Chang2

Author Affiliations

1 School of Science, Shandong University of Technology, Zibo 255049, China

2 School of Mathematics, Shandong University, Jinan 250100, China

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Boundary Value Problems 2010, 2010:516260  doi:10.1155/2010/516260

Published: 20 October 2010

Abstract

A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.