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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/150483 |
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| author | Randhir Singh Gnaneshwar Nelakanti Jitendra Kumar |
| author_facet | Randhir Singh Gnaneshwar Nelakanti Jitendra Kumar |
| author_sort | Randhir Singh |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-15b1ae0435304a33aaf37d2eba9f0cc5 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-15b1ae0435304a33aaf37d2eba9f0cc52025-02-03T05:46:20ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/150483150483Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition MethodRandhir Singh0Gnaneshwar Nelakanti1Jitendra Kumar2Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaDepartment of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaDepartment of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaWe 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.http://dx.doi.org/10.1155/2014/150483 |
| spellingShingle | Randhir Singh Gnaneshwar Nelakanti Jitendra Kumar Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/150483 |
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