The Open Applied Mathematics Journal
(Discontinued)
ISSN: 1874-1142 ― Volume 7, 2013
Application of the Non-Polynomial Spline Approach to the Solution of the Burgers’ Equation
The Open Applied Mathematics Journal, 2007, 1: 15-20
Mohamed A. Ramadan, Talaat S. El-Danaf, Faisal E.I. Abd Alaal
Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El-Koom, Egypt.
Electronic publication date 17/10/2007
[DOI: 10.2174/1874114200701010015]
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.
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