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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 165492, 9 pages
Research Article

Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation

1Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
2Department of Scientific Computing, Faculty of Computers and Informatics, Benha University, Benha 13518, Egypt
3Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Received 13 November 2012; Accepted 6 January 2013

Academic Editor: Hung Nguyen-Xuan

Copyright © 2013 M. El-Kady et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Numerical treatments for the generalized Burger's—Huxley GBH equation are presented. The treatments are based on cardinal Chebyshev and Legendre basis functions with Galerkin method. Gauss quadrature formula and El-gendi method are used to convert the problem into a system of ordinary differential equations. The numerical results are compared with the literatures to show efficiency of the proposed methods.