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Open Access Research Article

Two Conservative Difference Schemes for the Generalized Rosenau Equation

Jinsong Hu1 and Kelong Zheng2*

Author Affiliations

1 School of Mathematics and Computer Engineering, Xihua University, Chengdu, Sichuan 610039, China

2 School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China

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Boundary Value Problems 2010, 2010:543503  doi:10.1155/2010/543503

Published: 8 March 2010

Abstract

Numerical solutions for generalized Rosenau equation are considered and two energy conservative finite difference schemes are proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that two schemes are efficient and reliable.