Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
767665 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 13 Pages |
Abstract
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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Authors
Talaat S. Aly El-Danaf,