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

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  • M. El-Kady
  • S. M. El-Sayed
  • H. E. Fathy

Abstract

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.

Suggested Citation

  • M. El-Kady & S. M. El-Sayed & H. E. Fathy, 2013. "Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, February.
  • Handle: RePEc:hin:jnlmpe:165492
    DOI: 10.1155/2013/165492
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