A three-level linear implicit conservative scheme for the Rosenau–KdV–RLW equation

摘要

A three-level linear conservative implicit finite difference scheme for solving the Rosenau–KdV–RLW equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy method. The new scheme is 2nd-order convergent and unconditionally stable. Several numerical experiments verify that the theoretical results are accurate and the scheme is efficient and reliable.