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