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Analytical approximate solution of Carleman's equation by using Maclaurin series


Citation

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

Abstract

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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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Hikari
Keywords: Weakly singular integral equation; Carleman's equation; Maclaurin series; Approximation
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 06 Jun 2015 13:23
Last Modified: 31 Oct 2019 03:37
URI: http://psasir.upm.edu.my/id/eprint/13101
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