Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition MethodReport as inadecuate




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The Scientific World Journal - Volume 2014 2014, Article ID 150483, 6 pages -

Research ArticleDepartment of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

Received 29 August 2013; Accepted 11 November 2013; Published 20 January 2014

Academic Editors: A. Bellouquid, A. Moudafi, and A. M. Peralta

Copyright © 2014 Randhir Singh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We apply Adomian decomposition method ADM for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately. The approximations of the solution are obtained in the form of series with easily calculable components. Furthermore, we also discuss the convergence and error analysis of the ADM. Moreover, three numerical examples are included to demonstrate the accuracy and applicability of the method.





Author: Randhir Singh, Gnaneshwar Nelakanti, and Jitendra Kumar

Source: https://www.hindawi.com/



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