New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets
This paper deals with the extension of earlier work [3] (designed for Fredholm and Voltera integral equations), [16] (designed for Fredholm and Voltera integro-differential equations of first-order) and [4] (designed for Fredholm and Voltera integro-differential equations of second-order) to third-o...
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| Format: | Article |
| Language: | English |
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Sci.Int.(Lahore)
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/1/10285048881%291-6_-Azram_SIL_Malaysia_25-1-13.pdf |
| _version_ | 1848780053099315200 |
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| author | Fayyaz , M. Azram, Mohammad |
| author_facet | Fayyaz , M. Azram, Mohammad |
| author_sort | Fayyaz , M. |
| building | IIUM Repository |
| collection | Online Access |
| description | This paper deals with the extension of earlier work [3] (designed for Fredholm and Voltera integral equations), [16] (designed for Fredholm and Voltera integro-differential equations of first-order) and [4] (designed for Fredholm and Voltera integro-differential equations of second-order) to third-order nonlinear Fredholm as well as nonlinear Voltera integro-differential equations. The approach used in this paper make use of hidden valuable dimensions of Haar wavelets. The proposed method provides strong generic ground, thus yielding solution of both Fredholm and Volterra integro-differential equations of
third-order and second kind. Four numerical examples are used to illustrate the accuracy of the proposed method. |
| first_indexed | 2025-11-14T15:27:33Z |
| format | Article |
| id | iium-29023 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:27:33Z |
| publishDate | 2013 |
| publisher | Sci.Int.(Lahore) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-290232014-07-17T01:41:41Z http://irep.iium.edu.my/29023/ New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets Fayyaz , M. Azram, Mohammad QA Mathematics This paper deals with the extension of earlier work [3] (designed for Fredholm and Voltera integral equations), [16] (designed for Fredholm and Voltera integro-differential equations of first-order) and [4] (designed for Fredholm and Voltera integro-differential equations of second-order) to third-order nonlinear Fredholm as well as nonlinear Voltera integro-differential equations. The approach used in this paper make use of hidden valuable dimensions of Haar wavelets. The proposed method provides strong generic ground, thus yielding solution of both Fredholm and Volterra integro-differential equations of third-order and second kind. Four numerical examples are used to illustrate the accuracy of the proposed method. Sci.Int.(Lahore) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29023/1/10285048881%291-6_-Azram_SIL_Malaysia_25-1-13.pdf Fayyaz , M. and Azram, Mohammad (2013) New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets. Science International Lahore, 25 (1). pp. 1-6. ISSN 1013-5316 http://www.sci-int.com/pdf/10285048881)1-6%20-Azram%20SIL%20Malaysia%2025-1-13.pdf |
| spellingShingle | QA Mathematics Fayyaz , M. Azram, Mohammad New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| title | New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| title_full | New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| title_fullStr | New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| title_full_unstemmed | New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| title_short | New algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| title_sort | new algorithms for numerical solution of nonlinear integro-differential equations of third order using haar wavelets |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/ http://irep.iium.edu.my/29023/1/10285048881%291-6_-Azram_SIL_Malaysia_25-1-13.pdf |