Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain

Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain

A numerical method for solving two forms of Blasius equation is proposed. The Blasius equation is a third order nonlinear ordinary differential equation, which arises in the problem of the two-dimensional laminar viscous flow over a half-infinite domain. The approach is based on differential transfo...

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Main Authors: Vedat Suat Ertürk, Shaher Momani
Format: Article
Language:English
Published: SAGE Publishing 2008-09-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/174830108785302850
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spelling doaj-aa855db5b55c4c96b1edd04a5a54c2502020-11-25T03:45:05ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30181748-30262008-09-01210.1260/174830108785302850Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite DomainVedat Suat Ertürk0Shaher Momani1 Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey Department of Mathematics and Physics, Faculty of Arts and Sciences, Qatar University, QatarA numerical method for solving two forms of Blasius equation is proposed. The Blasius equation is a third order nonlinear ordinary differential equation, which arises in the problem of the two-dimensional laminar viscous flow over a half-infinite domain. The approach is based on differential transform method and Padé approximations. In this scheme, the solution takes the form of a convergent series with easily computable components. The obtained series solution is combined with the diagonal Padé approximations to handle the boundary condition at infinity for only one of these forms. The numerical results demonstrates the validity and applicabilty of the method and a comparison is made with existing results.https://doi.org/10.1260/174830108785302850
collection DOAJ
language English
format Article
sources DOAJ
author Vedat Suat Ertürk
Shaher Momani
spellingShingle Vedat Suat Ertürk
Shaher Momani
Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain
Journal of Algorithms & Computational Technology
author_facet Vedat Suat Ertürk
Shaher Momani
author_sort Vedat Suat Ertürk
title Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain
title_short Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain
title_full Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain
title_fullStr Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain
title_full_unstemmed Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain
title_sort numerical solutions of two forms of blasius equation on a half-infinite domain
publisher SAGE Publishing
series Journal of Algorithms & Computational Technology
issn 1748-3018
1748-3026
publishDate 2008-09-01
description A numerical method for solving two forms of Blasius equation is proposed. The Blasius equation is a third order nonlinear ordinary differential equation, which arises in the problem of the two-dimensional laminar viscous flow over a half-infinite domain. The approach is based on differential transform method and Padé approximations. In this scheme, the solution takes the form of a convergent series with easily computable components. The obtained series solution is combined with the diagonal Padé approximations to handle the boundary condition at infinity for only one of these forms. The numerical results demonstrates the validity and applicabilty of the method and a comparison is made with existing results.
url https://doi.org/10.1260/174830108785302850
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AT shahermomani numericalsolutionsoftwoformsofblasiusequationonahalfinfinitedomain
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