Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method

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 compon...

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Detalles Bibliográficos
Autores principales: Singh, Randhir, Nelakanti, Gnaneshwar, Kumar, Jitendra
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918365/
https://www.ncbi.nlm.nih.gov/pubmed/24574865
http://dx.doi.org/10.1155/2014/150483
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author Singh, Randhir
Nelakanti, Gnaneshwar
Kumar, Jitendra
author_facet Singh, Randhir
Nelakanti, Gnaneshwar
Kumar, Jitendra
author_sort Singh, Randhir
collection PubMed
description 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.
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spelling pubmed-39183652014-02-26 Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method Singh, Randhir Nelakanti, Gnaneshwar Kumar, Jitendra ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014-01-20 /pmc/articles/PMC3918365/ /pubmed/24574865 http://dx.doi.org/10.1155/2014/150483 Text en Copyright © 2014 Randhir Singh et al. https://creativecommons.org/licenses/by/3.0/ 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.
spellingShingle Research Article
Singh, Randhir
Nelakanti, Gnaneshwar
Kumar, Jitendra
Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
title Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
title_full Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
title_fullStr Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
title_full_unstemmed Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
title_short Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method
title_sort approximate solution of urysohn integral equations using the adomian decomposition method
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918365/
https://www.ncbi.nlm.nih.gov/pubmed/24574865
http://dx.doi.org/10.1155/2014/150483
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AT kumarjitendra approximatesolutionofurysohnintegralequationsusingtheadomiandecompositionmethod

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