Explicit multistep method for the numerical solution of RLW equation

摘要

In this paper, we present explicit multistep method for regularized long wave (RLW) equation. The discretization in space is based on the Galerkin method using linear space finite elements, and for the time discretization the explicit multistep method is used. Propagation of solitary waves and interaction of two solitary waves are simulated using the proposed method to confirm the theoretical results.