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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hikari
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13101/ http://psasir.upm.edu.my/id/eprint/13101/1/Analytical%20approximate%20solution%20of%20carleman%27s%20equation%20by%20using%20Maclaurin%20series.pdf |
| _version_ | 1848842019645947904 |
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| author | Yaghobifar, Mohammad Nik Long, Nik Mohd Asri |
| author_facet | Yaghobifar, Mohammad Nik Long, Nik Mohd Asri |
| author_sort | Yaghobifar, Mohammad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T07:52:29Z |
| format | Article |
| id | upm-13101 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:52:29Z |
| publishDate | 2010 |
| publisher | Hikari |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Yaghobifar, Mohammad Nik Long, Nik Mohd Asri Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title | 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_short | Analytical approximate solution of Carleman's equation by using Maclaurin series |
| title_sort | analytical approximate solution of carleman's equation by using maclaurin series |
| url | http://psasir.upm.edu.my/id/eprint/13101/ http://psasir.upm.edu.my/id/eprint/13101/ http://psasir.upm.edu.my/id/eprint/13101/1/Analytical%20approximate%20solution%20of%20carleman%27s%20equation%20by%20using%20Maclaurin%20series.pdf |