Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem

Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem

We extend for the first time the applicability of the Optimal Homotopy Asymptotic Method (OHAM) to find approximate solution of a system of two-point boundary-value problems (BVPs). The OHAM provides us with a very simple way to control and adjust the convergence of the series solution using the aux...

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Main Authors: A. K. Alomari, N. Ratib Anakira, A. Sami Bataineh, I. Hashim
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/136043
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spelling doaj-91c967d6c9424fa4ad352d3cf3c19d972020-11-24T20:55:05ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/136043136043Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow ProblemA. K. Alomari0N. Ratib Anakira1A. Sami Bataineh2I. Hashim3Department of Mathematics, Faculty of Science, Hashemite University, Zarqa 13115, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Al-Balqa' Applied University, Salt 19117, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaWe extend for the first time the applicability of the Optimal Homotopy Asymptotic Method (OHAM) to find approximate solution of a system of two-point boundary-value problems (BVPs). The OHAM provides us with a very simple way to control and adjust the convergence of the series solution using the auxiliary constants which are optimally determined. Comparisons made show the effectiveness and reliability of the method.http://dx.doi.org/10.1155/2013/136043
collection DOAJ
language English
format Article
sources DOAJ
author A. K. Alomari
N. Ratib Anakira
A. Sami Bataineh
I. Hashim
spellingShingle A. K. Alomari
N. Ratib Anakira
A. Sami Bataineh
I. Hashim
Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
Mathematical Problems in Engineering
author_facet A. K. Alomari
N. Ratib Anakira
A. Sami Bataineh
I. Hashim
author_sort A. K. Alomari
title Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
title_short Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
title_full Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
title_fullStr Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
title_full_unstemmed Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
title_sort approximate solution of nonlinear system of bvp arising in fluid flow problem
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description We extend for the first time the applicability of the Optimal Homotopy Asymptotic Method (OHAM) to find approximate solution of a system of two-point boundary-value problems (BVPs). The OHAM provides us with a very simple way to control and adjust the convergence of the series solution using the auxiliary constants which are optimally determined. Comparisons made show the effectiveness and reliability of the method.
url http://dx.doi.org/10.1155/2013/136043
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AT nratibanakira approximatesolutionofnonlinearsystemofbvparisinginfluidflowproblem
AT asamibataineh approximatesolutionofnonlinearsystemofbvparisinginfluidflowproblem
AT ihashim approximatesolutionofnonlinearsystemofbvparisinginfluidflowproblem
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