A finite difference solution of the regularized long-wave equation

Abstract

A linearized implicit finite difference method to obtain numericalsolution of the one-dimensional regularized long-wave (RLW)equation is presented. The performance and the accuracy of themethod are illustrated by solving three test examples of theproblem: a single solitary wave, two positive solitary wavesinteraction, and an undular bore. The obtained results arepresented and compared with earlier work.