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Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method

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  • H. Ullah
  • S. Islam
  • M. Idrees
  • M. Arif

Abstract

Application of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of Falkner‐Skan equations with heat transfer, has been applied in this work. To see the efficiency of the method, we consider Falkner‐Skan equations with heat transfer. It provides us with a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature as finite difference (N. S. Asaithambi, 1997) and shooting method (Cebeci and Keller, 1971). The obtained solutions show that OHAM is effective, simpler, easier, and explicit.

Suggested Citation

  • H. Ullah & S. Islam & M. Idrees & M. Arif, 2013. "Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:324869
    DOI: 10.1155/2013/324869
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    References listed on IDEAS

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    1. Javed Ali & S. Islam & Hamid Khan & Syed Inayat Ali Shah, 2012. "The Optimal Homotopy Asymptotic Method for the Solution of Higher‐Order Boundary Value Problems in Finite Domains," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. 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.
    3. R. Nawaz & H. Ullah & S. Islam & M. Idrees, 2013. "Application of Optimal Homotopy Asymptotic Method to Burger Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    4. Abbasbandy, S., 2007. "A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 257-260.
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    1. H. Ullah & S. Islam & M. Idrees & M. Fiza, 2014. "Solution of the Differential‐Difference Equations by Optimal Homotopy Asymptotic Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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