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2012 (Vol. 4, Issue: 17)
Article Information:

Approximate Explicit Solution of Falkner-Skan Equation by Homotopy Perturbation Method

N. Moallemi, I. Shafieenejad, S.F. Hashemi and A. Fata
Corresponding Author:  N. Moallemi 

Key words:  Boundary layer theory, Falkner-Skan equation, Homotopy Perturbation Method (HPM), , , ,
Vol. 4 , (17): 2893-2897
Submitted Accepted Published
December 02, 2011 January 13, 2012 September 01, 2012
Abstract:

In this study, by mean`s of He`s Homotopy Perturbation Method (HPM) an approximate solution of Falkner-Skan equation obtained. In boundary layer theory, we have seen how similarity methods combine two independent variables into one, and therefore our problems our simplified to ODE Equations. If we use HPM we can deforms a difficult ordinary differential equation into a simple problem which can be easily solved. Comparison is made between the solution of Falkner Skan equation for 4 cases and those in open literature to verify accuracy of this work. Results show that the method is very effective and simple.
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  Cite this Reference:
N. Moallemi, I. Shafieenejad, S.F. Hashemi and A. Fata, 2012. Approximate Explicit Solution of Falkner-Skan Equation by Homotopy Perturbation Method.  Research Journal of Applied Sciences, Engineering and Technology, 4(17): 2893-2897.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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