New Approximate Analytical Solutions of the Falkner-Skan Equation
We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the exi...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/170802 |
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| _version_ | 1832552416948518912 |
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| author | Beong In Yun |
| author_facet | Beong In Yun |
| author_sort | Beong In Yun |
| collection | DOAJ |
| description | We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the proposed method, we suggest an efficient correction method. In practice, for some examples one can observe that the correction method results in highly improved approximate solutions. |
| format | Article |
| id | doaj-art-35e71a053d5f42b9a8d755fa3dc740b7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-35e71a053d5f42b9a8d755fa3dc740b72025-02-03T05:58:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/170802170802New Approximate Analytical Solutions of the Falkner-Skan EquationBeong In Yun0Department of Statistics and Computer Science, Kunsan National University, Kunsan 573-701, Republic of KoreaWe propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the proposed method, we suggest an efficient correction method. In practice, for some examples one can observe that the correction method results in highly improved approximate solutions.http://dx.doi.org/10.1155/2012/170802 |
| spellingShingle | Beong In Yun New Approximate Analytical Solutions of the Falkner-Skan Equation Journal of Applied Mathematics |
| title | New Approximate Analytical Solutions of the Falkner-Skan Equation |
| title_full | New Approximate Analytical Solutions of the Falkner-Skan Equation |
| title_fullStr | New Approximate Analytical Solutions of the Falkner-Skan Equation |
| title_full_unstemmed | New Approximate Analytical Solutions of the Falkner-Skan Equation |
| title_short | New Approximate Analytical Solutions of the Falkner-Skan Equation |
| title_sort | new approximate analytical solutions of the falkner skan equation |
| url | http://dx.doi.org/10.1155/2012/170802 |
| work_keys_str_mv | AT beonginyun newapproximateanalyticalsolutionsofthefalknerskanequation |