Constructing Uniform Approximate Analytical Solutions for the Blasius Problem
We propose a simple constructive method which assures uniform accuracy of the approximate analytical solutions for the Blasius problem on the semi-infinite interval 0,∞. The method is based on a weight function having an S-shape to reflect a series solution near the origin x=0 and a reference soluti...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/495734 |
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| _version_ | 1832551270214270976 |
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| author | Beong In Yun |
| author_facet | Beong In Yun |
| author_sort | Beong In Yun |
| collection | DOAJ |
| description | We propose a simple constructive method which assures uniform accuracy of the approximate analytical solutions for the Blasius problem on the semi-infinite interval 0,∞. The method is based on a weight function having an S-shape to reflect a series solution near the origin x=0 and a reference solution far from the origin. Numerical results show the efficiency of the proposed method. |
| format | Article |
| id | doaj-art-a4b2fd236c734ed68456c24f98434504 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a4b2fd236c734ed68456c24f984345042025-02-03T06:01:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/495734495734Constructing Uniform Approximate Analytical Solutions for the Blasius ProblemBeong In Yun0Department of Statistics and Computer Science, Kunsan National University, Gunsan 573-701, Republic of KoreaWe propose a simple constructive method which assures uniform accuracy of the approximate analytical solutions for the Blasius problem on the semi-infinite interval 0,∞. The method is based on a weight function having an S-shape to reflect a series solution near the origin x=0 and a reference solution far from the origin. Numerical results show the efficiency of the proposed method.http://dx.doi.org/10.1155/2014/495734 |
| spellingShingle | Beong In Yun Constructing Uniform Approximate Analytical Solutions for the Blasius Problem Abstract and Applied Analysis |
| title | Constructing Uniform Approximate Analytical Solutions for the Blasius Problem |
| title_full | Constructing Uniform Approximate Analytical Solutions for the Blasius Problem |
| title_fullStr | Constructing Uniform Approximate Analytical Solutions for the Blasius Problem |
| title_full_unstemmed | Constructing Uniform Approximate Analytical Solutions for the Blasius Problem |
| title_short | Constructing Uniform Approximate Analytical Solutions for the Blasius Problem |
| title_sort | constructing uniform approximate analytical solutions for the blasius problem |
| url | http://dx.doi.org/10.1155/2014/495734 |
| work_keys_str_mv | AT beonginyun constructinguniformapproximateanalyticalsolutionsfortheblasiusproblem |