Application of the quadrature-difference method for solving Fredholm integro-differential equations
Application of the quadrature-difference method for solving Fredholm integro-differential equations (FIDEs) is presented in this paper. The FIDEs will be discretized by using the combinations of Simpsons quadrature rule with finite difference. The method converts the FIDEs to a matrix equation which...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51886/ http://psasir.upm.edu.my/id/eprint/51886/1/Application%20of%20the%20quadrature-difference%20method%20for%20solving%20Fredholm%20integro-differential%20equations.pdf |
| _version_ | 1848851954883624960 |
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| author | Jalius, Chriscella Abdul Majid, Zanariah |
| author_facet | Jalius, Chriscella Abdul Majid, Zanariah |
| author_sort | Jalius, Chriscella |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Application of the quadrature-difference method for solving Fredholm integro-differential equations (FIDEs) is presented in this paper. The FIDEs will be discretized by using the combinations of Simpsons quadrature rule with finite difference. The method converts the FIDEs to a matrix equation which corresponds to a system of linear algebraic equations. The formulation and the implementation of the proposed method are also presented. Several numerical examples are presented to illustrate the performance of the proposed method. |
| first_indexed | 2025-11-15T10:30:24Z |
| format | Conference or Workshop Item |
| id | upm-51886 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:24Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518862017-05-03T04:09:14Z http://psasir.upm.edu.my/id/eprint/51886/ Application of the quadrature-difference method for solving Fredholm integro-differential equations Jalius, Chriscella Abdul Majid, Zanariah Application of the quadrature-difference method for solving Fredholm integro-differential equations (FIDEs) is presented in this paper. The FIDEs will be discretized by using the combinations of Simpsons quadrature rule with finite difference. The method converts the FIDEs to a matrix equation which corresponds to a system of linear algebraic equations. The formulation and the implementation of the proposed method are also presented. Several numerical examples are presented to illustrate the performance of the proposed method. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51886/1/Application%20of%20the%20quadrature-difference%20method%20for%20solving%20Fredholm%20integro-differential%20equations.pdf Jalius, Chriscella and Abdul Majid, Zanariah (2015) Application of the quadrature-difference method for solving Fredholm integro-differential equations. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 66-70). http://ieeexplore.ieee.org/document/7357028/ 10.1109/ICREM.2015.7357028 |
| spellingShingle | Jalius, Chriscella Abdul Majid, Zanariah Application of the quadrature-difference method for solving Fredholm integro-differential equations |
| title | Application of the quadrature-difference method for solving Fredholm integro-differential equations |
| title_full | Application of the quadrature-difference method for solving Fredholm integro-differential equations |
| title_fullStr | Application of the quadrature-difference method for solving Fredholm integro-differential equations |
| title_full_unstemmed | Application of the quadrature-difference method for solving Fredholm integro-differential equations |
| title_short | Application of the quadrature-difference method for solving Fredholm integro-differential equations |
| title_sort | application of the quadrature-difference method for solving fredholm integro-differential equations |
| url | http://psasir.upm.edu.my/id/eprint/51886/ http://psasir.upm.edu.my/id/eprint/51886/ http://psasir.upm.edu.my/id/eprint/51886/ http://psasir.upm.edu.my/id/eprint/51886/1/Application%20of%20the%20quadrature-difference%20method%20for%20solving%20Fredholm%20integro-differential%20equations.pdf |