Numerical Simulation for General Rosenau‐RLW Equation: AnAverage Linearized Conservative Scheme

Abstract

Numerical solutions for the general Rosenau‐RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient and reliable.