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28th Southeastern-Atlantic Regional Conference on Differential Equations
October 10-11, 2008
University of Arkansas at Little Rock
Little Rock Arkansas, USA

Organizers
Eric R. Kaufmann, Nickolai Kosmatov

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A numerical solution of the generalized Burger's-Huxley equation using cubic b-spline
by
Mahmood Lashani
Coauthors: Behnam Sepehrian, Bijan Farokhi

In this paper, numerical solutions of the nonlinear generalized Burger's-Huxley equation are obtained by a method based on collocation of cubic B-splines over finite elements. Applying the Von-Neumann stability analysis, the proposed method is shown to be conditionally stable. The accuracy of the presented method is demonstrated by test problems. The numerical results are found to be in good agreement with the exact solutions.

Date received: May 16, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caww-04.