A conservative weighted finite difference scheme for the generalized Rosenau-RLW equation

• DOI: 10.1007/s40314-015-0214-7
• Publication Date: 2015-01-24T11:44:02Z
• Authors: Huan Wang; Shuguang Li; Jue Wang
• Keywords: 0209 industrial biotechnology; 02 engineering and technology; 0101 mathematics; 01 natural sciences

In this paper, we present a new conservative finite difference scheme for the initial-boundary value problem of the Generalized Rosenau-RLW (GRRLW) equation. The unique solvability of numerical solutions is shown. The energy conservation and the mass conservation of schemes in the discrete sobolev spaces are obtained. It is proved that the schemes are second-order convergent and unconditionally stable. Finally, theoretical and numerical results demonstrate that the schemes are efficient and accurate.