A COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF THE RLW EQUATION USING CUBIC B-SPLINE BASIS

摘要

The cubic B-spline functions and splitting method have been used to develop a new algorithm based on the collocation method to solve Regularized Long Wave (RLW) Equations. The method is validated by studying solitary wave motion, two solitary-wave interaction, the evolution of solitary waves, and undular bore development.