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Numerical solution for the Falkner–Skan equation

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  • Elgazery, Nasser S.

Abstract

In this paper, an analysis is presented for the numerical solution of the Falkner–Skan equation. The nonlinear ordinary differential equation is solved using Adomian decomposition method (ADM). The condition at infinity will be applied to a related Padé approximation to the obtained series solution. By using MATHEMATICA™ Adomian polynomials and Padé approximation of the obtained series (ADM) solution have been calculated. From the computational viewpoint, the solutions obtained thus by the ADM and shooting method are in excellent agreement with those obtained by previous works and efficient to use.

Suggested Citation

  • Elgazery, Nasser S., 2008. "Numerical solution for the Falkner–Skan equation," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 738-746.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:4:p:738-746
    DOI: 10.1016/j.chaos.2006.05.040
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    1. Kamdem, J. Sadefo & Qiao, Zhijun, 2007. "Decomposition method for the Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 437-447.
    2. El-Danaf, Talaat S. & Ramadan, Mohamed A. & Abd Alaal, Faysal E.I., 2005. "The use of adomian decomposition method for solving the regularized long-wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 747-757.
    3. Kaya, Doǧan & Yokus, Asif, 2002. "A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(6), pages 507-512.
    4. Lesnic, D., 2006. "Blow-up solutions obtained using the decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 776-787.
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    Cited by:

    1. Ramos, J.I., 2009. "Generalized decomposition methods for nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1078-1084.

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