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 simulate 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 L∞ error norms are used to measure differences between the analytical and numerical solutions. The obtained results are compared with some published
numerical solutions. A linear stability analysis of the scheme is also investigate
