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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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hikari
2010
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Online Access: | 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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Summary: | 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. |
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