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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.