Parametric spline solution of the regularized long wave equation

摘要

In this paper, we present a numerical method based on parametric quintic splines for the regularized long wave (RLW) equation. The truncation error is analyzed and the method shows that by choosing suitably parameters we can obtain various accuracy schemes. Stability analysis of the method is studied and the numerical results show that the method is unconditionally stable. The efficiency of the method is examined by evaluating the error norms and conservation properties of mass, energy, and momentum. The numerical simulations can validate and demonstrate the advantages of the method.