Efficient accurate numerical treatment of the modified Burgers’ equation

Abstract

In this article, we propose a non-polynomial spline-based method to obtain numerical solutions of the non-linear modified Burgers’ equation. Applying the Von Neumann stability analysis, the developed method is shown to be conditionally stable. A numerical example is given to illustrate the applicability, and the accuracy of the proposed method compared with other existing recent method.

Keywords:

• non-polynomial spline
• non-linear modified Burgers’ equation
• Von Neumann stability
• accuracy