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. © 2009 Taylor & Francis.

Año de publicación:

2009

Keywords:

• Von Neumann stability
• Non-polynomial spline
• accuracy
• Non-linear modified Burgers' equation

Fuente:

scopus