Two Conservative Difference Schemes for the Generalized Rosenau Equation
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
Boundary Value Problems 2010, 2010:543503 doi:10.1155/2010/543503Published: 8 March 2010
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.