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The solution of the Falkner‐Skan equation arising in the modelling of boundary‐layer problems via variational iteration method

Mehdi Dehghan (Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran)
Mehdi Tatari (Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran)
Asma Azizi (Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 29 March 2011

454

Abstract

Purpose

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The purpose of this paper is to consider the well‐known Falkner‐Skan equation. This equation appears in the modelling of various phenomena in physics and engineering.

Design/methodology/approach

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The He's variational iteration method which is a very efficient tool for solving different kinds of problems, is employed for solving this problem.

Findings

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Some other approaches are introduced to compare the efficiency of the new procedure. Several test examples are given to show the advantages of the present method over other existing techniques.

Originality/value

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In this paper, a new and efficient technique is proposed to solve the Falkner‐Skan equation.

Keywords

Citation

Dehghan, M., Tatari, M. and Azizi, A. (2011), "The solution of the Falkner‐Skan equation arising in the modelling of boundary‐layer problems via variational iteration method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 21 No. 2, pp. 136-149. https://doi.org/10.1108/09615531111105362

Publisher

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Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited

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