A New Conservative Difference Scheme for the General Rosenau-RLW Equation
1 School of Science, Shandong University of Technology, Zibo 255049, China
2 School of Mathematics, Shandong University, Jinan 250100, China
Boundary Value Problems 2010, 2010:516260 doi:10.1155/2010/516260Published: 20 October 2010
A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.