Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 517818, 15 pages
http://dx.doi.org/10.1155/2012/517818
Research Article

Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme

Xintian Pan1 and Luming Zhang2

1School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, China
2Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China

Received 31 October 2011; Revised 6 February 2012; Accepted 9 March 2012

Academic Editor: John Burns

Copyright © 2012 Xintian Pan and Luming Zhang. 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 the general Rosenau-RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient and reliable.