Approximation of Burger's Equation Using Sextic B-Spline Galerkin Scheme with Quintic Weight Function

Abstract

In this study, We produce the new numerical scheme which relies on sextic B-spline Galerkin method takes with quintic B-spline as a weight function, for solving the Burger's equation, contrasted  with exact solution can be done and then we find out a linear stability analysis which is erect on a Fourier (Von Neumann) method.