Combine of B-Spline Galerkin Schemes with Change Weight Function

There exist many numerical methods forsolving differential equations. They differ in accuracy,performance and applicability. In this paper, we derive new numerical schemeswhich depend on type M of B-splines Galerkin method takes withweight function from type M-1 of B-splines, where M is integer number, for solving the modified equal width (MEW) wave equation,compared with analytic solution can be made and we investigate a linear stability analysiswhich is based on a Fourier (Von Neumann) method.