A linearized implicit finite-difference method for solving the equal width wave equation

Abstract

A linearized implicit finite-difference method is presented to find numerical solutions of the equal width wave equation. The method has been used successfully to investigate the motion of a single solitary wave, the development of the interaction of two solitary waves and an undular bore. The obtained results are compared with other numerical results in the literature. A stability analysis of the scheme is also investigated.

Keywords:

• Equal width wave equation
• EW equation
• Linearized implicit finite difference
• Solitary waves
• Undular bore

Acknowledgement

We wish to express our deep appreciation to the referees of this paper for their excellent remarks which helped us to present the paper in its final form.