Analytic Approximate Solution for Falkner-Skan Equation

Analytic Approximate Solution for Falkner-Skan Equation

This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a...

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Main Authors: Vasile Marinca, Remus-Daniel Ene, Bogdan Marinca
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/617453
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spelling doaj-92cebabdd1d6416ba83c74493818071b2020-11-24T21:50:57ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/617453617453Analytic Approximate Solution for Falkner-Skan EquationVasile Marinca0Remus-Daniel Ene1Bogdan Marinca2Department of Mechanics and Vibration, Politehnica University of Timișoara, 300222 Timișoara, RomaniaDepartment of Mathematics, Politehnica University of Timișoara, 300006 Timișoara, RomaniaDepartment of Applied Electronics, Politehnica University of Timișoara, 300223 Timișoara, RomaniaThis paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained results reveal that this procedure is very effective, simple, and accurate. A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.http://dx.doi.org/10.1155/2014/617453
collection DOAJ
language English
format Article
sources DOAJ
author Vasile Marinca
Remus-Daniel Ene
Bogdan Marinca
spellingShingle Vasile Marinca
Remus-Daniel Ene
Bogdan Marinca
Analytic Approximate Solution for Falkner-Skan Equation
The Scientific World Journal
author_facet Vasile Marinca
Remus-Daniel Ene
Bogdan Marinca
author_sort Vasile Marinca
title Analytic Approximate Solution for Falkner-Skan Equation
title_short Analytic Approximate Solution for Falkner-Skan Equation
title_full Analytic Approximate Solution for Falkner-Skan Equation
title_fullStr Analytic Approximate Solution for Falkner-Skan Equation
title_full_unstemmed Analytic Approximate Solution for Falkner-Skan Equation
title_sort analytic approximate solution for falkner-skan equation
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained results reveal that this procedure is very effective, simple, and accurate. A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.
url http://dx.doi.org/10.1155/2014/617453
work_keys_str_mv AT vasilemarinca analyticapproximatesolutionforfalknerskanequation
AT remusdanielene analyticapproximatesolutionforfalknerskanequation
AT bogdanmarinca analyticapproximatesolutionforfalknerskanequation
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