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Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate

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  • Tajvidi, T.
  • Razzaghi, M.
  • Dehghan, M.

Abstract

A numerical method for solving the classical Blasius’ equation is proposed. The Blasius’ equation is a third order nonlinear ordinary differential equation , which arises in the problem of the two-dimensional laminar viscous flow over a semi-infinite flat plane. The approach is based on a modified rational Legendre tau method. The operational matrices for the derivative and product of the modified rational Legendre functions are presented. These matrices together with the tau method are utilized to reduce the solution of Blasius’ equation to the solution of a system of algebraic equations. A numerical evaluation is included to demonstrate the validity and applicability of the method and a comparison is made with existing results.

Suggested Citation

  • Tajvidi, T. & Razzaghi, M. & Dehghan, M., 2008. "Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 59-66.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:1:p:59-66
    DOI: 10.1016/j.chaos.2006.05.031
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    References listed on IDEAS

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    1. 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.
    2. 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. Saadatmandi, Abbas & Sanatkar, Zeinab & Toufighi, Seyed Pendar, 2017. "Computational methods for solving the steady flow of a third grade fluid in a porous half space," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 133-140.

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