Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method

Application of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of Falkner-Skan equations with heat transfer, has been applied in this work. To see the efficiency of the method, we consider Falkner-Skan equations with heat transfer. It provides us with a...

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Main Authors: H. Ullah, S. Islam, M. Idrees, M. Arif
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/324869
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author H. Ullah
S. Islam
M. Idrees
M. Arif
author_facet H. Ullah
S. Islam
M. Idrees
M. Arif
author_sort H. Ullah
collection DOAJ
description Application of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of Falkner-Skan equations with heat transfer, has been applied in this work. To see the efficiency of the method, we consider Falkner-Skan equations with heat transfer. It provides us with a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature as finite difference (N. S. Asaithambi, 1997) and shooting method (Cebeci and Keller, 1971). The obtained solutions show that OHAM is effective, simpler, easier, and explicit.
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institution Kabale University
issn 1085-3375
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publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c93da45272194e489dae5191c0fb6c302025-02-03T01:27:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/324869324869Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic MethodH. Ullah0S. Islam1M. Idrees2M. Arif3Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanApplication of Optimal Homotopy Asymptotic Method (OHAM), a new analytic approximate technique for treatment of Falkner-Skan equations with heat transfer, has been applied in this work. To see the efficiency of the method, we consider Falkner-Skan equations with heat transfer. It provides us with a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution found in the literature as finite difference (N. S. Asaithambi, 1997) and shooting method (Cebeci and Keller, 1971). The obtained solutions show that OHAM is effective, simpler, easier, and explicit.http://dx.doi.org/10.1155/2013/324869
spellingShingle H. Ullah
S. Islam
M. Idrees
M. Arif
Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
Abstract and Applied Analysis
title Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
title_full Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
title_fullStr Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
title_full_unstemmed Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
title_short Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method
title_sort solution of boundary layer problems with heat transfer by optimal homotopy asymptotic method
url http://dx.doi.org/10.1155/2013/324869
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