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2012 New Approximate Analytical Solutions of the Falkner-Skan Equation
Beong In Yun
J. Appl. Math. 2012: 1-12 (2012). DOI: 10.1155/2012/170802


We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the proposed method, we suggest an efficient correction method. In practice, for some examples one can observe that the correction method results in highly improved approximate solutions.


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Beong In Yun. "New Approximate Analytical Solutions of the Falkner-Skan Equation." J. Appl. Math. 2012 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.65149
MathSciNet: MR2948131
Digital Object Identifier: 10.1155/2012/170802

Rights: Copyright © 2012 Hindawi


Vol.2012 • 2012
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