Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation'

Abstract

In this paper, we propose a non-polynomial spline based method to develop a numerical method for approximation to the Burgers ' equation. Applying the Von-Neumann stability analysis, we show that the proposed method is unconditionally stable. A numerical example is given to illustrate the applicability and the accuracy of the presented new method.