Numerical solution of Rosenau–KdV equation using Sinc collocation method

Abstract

The numerical method based on Sinc function is applied for the solution of Rosenau–KdV equation in this paper. The equation is fully-discretized by using the Sinc collocation method for spatial discretization and the forward finite difference for time discretization. The difference scheme is indicated to be conditionally stable using error analysis. The validity and accuracy of this method are verified by serval numerical experiments using single solitary waves, double solitary waves and multiple solitary waves.