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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2008-09-01
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| Series: | Journal of Algorithms & Computational Technology |
| Online Access: | https://doi.org/10.1260/174830108785302850 |
| _version_ | 1818454689990049792 |
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| author | Vedat Suat Ertürk Shaher Momani |
| author_facet | Vedat Suat Ertürk Shaher Momani |
| author_sort | Vedat Suat Ertürk |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-14T21:58:53Z |
| format | Article |
| id | doaj.art-aa855db5b55c4c96b1edd04a5a54c250 |
| institution | Directory Open Access Journal |
| issn | 1748-3018 1748-3026 |
| language | English |
| last_indexed | 2024-12-14T21:58:53Z |
| publishDate | 2008-09-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Algorithms & Computational Technology |
| spelling | doaj.art-aa855db5b55c4c96b1edd04a5a54c2502022-12-21T22:46:03ZengSAGE 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 |
| spellingShingle | Vedat Suat Ertürk Shaher Momani Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain Journal of Algorithms & Computational Technology |
| title | 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_short | 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 |
| url | https://doi.org/10.1260/174830108785302850 |
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