A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind
We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the problems arising from the previous decompositio...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/795015 |
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| _version_ | 1832553227181096960 |
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| author | Lie-jun Xie |
| author_facet | Lie-jun Xie |
| author_sort | Lie-jun Xie |
| collection | DOAJ |
| description | We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the problems arising from the previous decomposition method. The validity and applicability of the new technique are illustrated through several linear and nonlinear equations by comparing with the standard decomposition method and the modified decomposition method. The results obtained indicate that the new modification is effective and promising. |
| format | Article |
| id | doaj-art-e27374134503457fbd55c5ee4f7226dd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e27374134503457fbd55c5ee4f7226dd2025-02-03T05:54:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/795015795015A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second KindLie-jun Xie0Department of Mathematics, Faculty of Science, Ningbo University, Ningbo, Zhejiang 315211, ChinaWe propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the problems arising from the previous decomposition method. The validity and applicability of the new technique are illustrated through several linear and nonlinear equations by comparing with the standard decomposition method and the modified decomposition method. The results obtained indicate that the new modification is effective and promising.http://dx.doi.org/10.1155/2013/795015 |
| spellingShingle | Lie-jun Xie A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind Journal of Applied Mathematics |
| title | A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind |
| title_full | A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind |
| title_fullStr | A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind |
| title_full_unstemmed | A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind |
| title_short | A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind |
| title_sort | new modification of adomian decomposition method for volterra integral equations of the second kind |
| url | http://dx.doi.org/10.1155/2013/795015 |
| work_keys_str_mv | AT liejunxie anewmodificationofadomiandecompositionmethodforvolterraintegralequationsofthesecondkind AT liejunxie newmodificationofadomiandecompositionmethodforvolterraintegralequationsofthesecondkind |