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Application of Optimal Homotopy Asymptotic Method to Burger Equations

Author

Listed:
  • R. Nawaz
  • H. Ullah
  • S. Islam
  • M. Idrees

Abstract

We apply optimal homotopy asymptotic method (OHAM) for finding approximate solutions of the Burger's-Huxley and Burger's-Fisher equations. The results obtained by proposed method are compared to those of Adomian decomposition method (ADM) (Ismail et al., (2004)). As a result it is concluded that the method is explicit, effective, and simple to use.

Suggested Citation

  • R. Nawaz & H. Ullah & S. Islam & M. Idrees, 2013. "Application of Optimal Homotopy Asymptotic Method to Burger Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, July.
    • Handle: RePEc:hin:jnljam:387478
    DOI: 10.1155/2013/387478
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    Cited by:

    1. Suheel Abdullah Malik & Ijaz Mansoor Qureshi & Muhammad Amir & Aqdas Naveed Malik & Ihsanul Haq, 2015. "Numerical Solution to Generalized Burgers'-Fisher Equation Using Exp-Function Method Hybridized with Heuristic Computation," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-15, March.
    2. Korkut, Sıla Övgü, 2023. "An accurate and efficient numerical solution for the generalized Burgers–Huxley equation via Taylor wavelets method: Qualitative analyses and Applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 324-341.

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