Numerical study of the Modified Regularized Long Wave (MRLW) equation

The quadratic B-spline functions and the central difference operator for the time derivative have been used to develop a new algorithm based on the collocation method to solve modified regularized long wave equation. A linear stability analysis of the scheme is shown to be marginally stable. The method is validated by studying solitary wave motion, two and three solitary wave interaction, the evolution of solitary waves, and undular bore development.