One-step block method for solving Volterra integro-differential equations
One-step block method for solving linear Volterra integro-differential equations (VIDEs) is presented in this paper. In VIDEs, the unknown function appears in the form of derivative and under the integral sign. The popular methods for solving VIDEs are the method of quadrature or quadrature method c...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57442/ http://psasir.upm.edu.my/id/eprint/57442/1/One-step%20block%20method%20for%20solving%20Volterra%20integro-differential%20equations.pdf |
| _version_ | 1848853367311302656 |
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| author | Mohamed, Nurul Atikah Abdul Majid, Zanariah |
| author_facet | Mohamed, Nurul Atikah Abdul Majid, Zanariah |
| author_sort | Mohamed, Nurul Atikah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | One-step block method for solving linear Volterra integro-differential equations (VIDEs) is presented in this paper. In VIDEs, the unknown function appears in the form of derivative and under the integral sign. The popular methods for solving VIDEs are the method of quadrature or quadrature method combined with numerical method. The proposed block method will solve the ordinary differential equations (ODEs) part and Newton-Cotes quadrature rule is applied to calculate the integral part of VIDEs. Numerical problems are presented to illustrate the performance of the proposed method. |
| first_indexed | 2025-11-15T10:52:51Z |
| format | Conference or Workshop Item |
| id | upm-57442 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:51Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574422017-09-27T10:47:17Z http://psasir.upm.edu.my/id/eprint/57442/ One-step block method for solving Volterra integro-differential equations Mohamed, Nurul Atikah Abdul Majid, Zanariah One-step block method for solving linear Volterra integro-differential equations (VIDEs) is presented in this paper. In VIDEs, the unknown function appears in the form of derivative and under the integral sign. The popular methods for solving VIDEs are the method of quadrature or quadrature method combined with numerical method. The proposed block method will solve the ordinary differential equations (ODEs) part and Newton-Cotes quadrature rule is applied to calculate the integral part of VIDEs. Numerical problems are presented to illustrate the performance of the proposed method. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57442/1/One-step%20block%20method%20for%20solving%20Volterra%20integro-differential%20equations.pdf Mohamed, Nurul Atikah and Abdul Majid, Zanariah (2014) One-step block method for solving Volterra integro-differential equations. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-6). 10.1063/1.4932427 |
| spellingShingle | Mohamed, Nurul Atikah Abdul Majid, Zanariah One-step block method for solving Volterra integro-differential equations |
| title | One-step block method for solving Volterra integro-differential equations |
| title_full | One-step block method for solving Volterra integro-differential equations |
| title_fullStr | One-step block method for solving Volterra integro-differential equations |
| title_full_unstemmed | One-step block method for solving Volterra integro-differential equations |
| title_short | One-step block method for solving Volterra integro-differential equations |
| title_sort | one-step block method for solving volterra integro-differential equations |
| url | http://psasir.upm.edu.my/id/eprint/57442/ http://psasir.upm.edu.my/id/eprint/57442/ http://psasir.upm.edu.my/id/eprint/57442/1/One-step%20block%20method%20for%20solving%20Volterra%20integro-differential%20equations.pdf |