Boundary Value Problems
Volume 2010 (2010), Article ID 543503, 18 pages
doi:10.1155/2010/543503
Research Article

Two Conservative Difference Schemes for the Generalized Rosenau Equation

Jinsong Hu1 and Kelong Zheng2

1School of Mathematics and Computer Engineering, Xihua University, Chengdu, Sichuan 610039, China
2School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China

Received 31 October 2009; Accepted 26 January 2010

Academic Editor: Sandro Salsa

Copyright © 2010 Jinsong Hu and Kelong Zheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.