Analytical approximate solution of Carleman's equation by using Maclaurin series
In this paper we introduce a expansion method for solution of carleman's equation, in this method we expand the known function as a Maclaurin series and convert the solution into linear combination of some elements. We proved this linear combination is uniformly convergence to the analytic solu...
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2010
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my.upm.eprints.131012019-10-31T03:37:37Z http://psasir.upm.edu.my/id/eprint/13101/ Analytical approximate solution of Carleman's equation by using Maclaurin series Yaghobifar, Mohammad Nik Long, Nik Mohd Asri In this paper we introduce a expansion method for solution of carleman's equation, in this method we expand the known function as a Maclaurin series and convert the solution into linear combination of some elements. We proved this linear combination is uniformly convergence to the analytic solution. If the known function be a polynomial then we have exact solution. Hikari 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13101/1/Analytical%20approximate%20solution%20of%20carleman%27s%20equation%20by%20using%20Maclaurin%20series.pdf Yaghobifar, Mohammad and Nik Long, Nik Mohd Asri (2010) Analytical approximate solution of Carleman's equation by using Maclaurin series. International Mathematical Forum, 5 (60). pp. 2985-2993. ISSN 1312-7594; ESSN: 1314-7536 http://www.m-hikari.com/imf-2010/57-60-2010/index.html |
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In this paper we introduce a expansion method for solution of carleman's equation, in this method we expand the known function as a Maclaurin series and convert the solution into linear combination of some elements. We proved this linear combination is uniformly convergence to the analytic solution. If the known function be a polynomial then we have exact solution. |
| format |
Article |
| author |
Yaghobifar, Mohammad Nik Long, Nik Mohd Asri |
| spellingShingle |
Yaghobifar, Mohammad Nik Long, Nik Mohd Asri Analytical approximate solution of Carleman's equation by using Maclaurin series |
| author_facet |
Yaghobifar, Mohammad Nik Long, Nik Mohd Asri |
| author_sort |
Yaghobifar, Mohammad |
| title |
Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title_short |
Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title_full |
Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title_fullStr |
Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title_full_unstemmed |
Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title_sort |
analytical approximate solution of carleman's equation by using maclaurin series |
| publisher |
Hikari |
| publishDate |
2010 |
| url |
http://psasir.upm.edu.my/id/eprint/13101/1/Analytical%20approximate%20solution%20of%20carleman%27s%20equation%20by%20using%20Maclaurin%20series.pdf http://psasir.upm.edu.my/id/eprint/13101/ http://www.m-hikari.com/imf-2010/57-60-2010/index.html |
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