A New Conservative Difference Scheme for Rosenau-Kawahara Equation

In this paper,a finite difference method is presented for the initial value problems of Rosenau-Kaw ahara Equation. A three level linear conservation finite difference scheme with one weighted coefficient is designed. The scheme has the advantages that it preserves two invariant properties of the original differential equation. It is proved that the finite difference scheme is convergent with second-order and unconditionally stable by discrete functional analysis method. Numerical identification also show s that appropriate adjustments to the one weighted parameter will significantly improve the computational accuracy.