A numerical solution of the MEW equation using sextic B-splines

Abstract

In this article, a numerical solution of the modified equal width wave (MEW) equation, based on subdomain method using sextic B-spline is used to simu- late the motion of single solitary wave and interaction of two solitary waves. The three invariants of the motion are calculated to determine the conservation properties of the system. L2 and L1 error norms are used to measure differences between the analyti- cal and numerical solutions. The obtained results are compared with some published numerical solutions. A linear stability analysis of the scheme is also investigated.