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Septic B-spline method of the Korteweg-de Vries–Burger’s equation

✍ Scribed by Talaat S. Aly El-Danaf

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
201 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, a numerical solution for the Korteweg-de Vries-Burger's equation (KdVB) by using the collocation method using the septic splines is proposed. Applying the Von-Neumann stability analysis technique we show that the method is unconditionally stable. By conducting a comparison between the absolute error for the obtained numerical results and the analytic solution of the equation we will test the accuracy of the proposed method.

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