Multistep block method for solving Volterra integro-differential equations
In this paper, we use multistep block method for solving linear and non-linear Volterra integro-differential equations (VIDEs) of the second kind. The VIDEs will be solved by using the combination of multistep block method of order three and Newton-Cotes quadrature rule of suitable order. The propos...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52356/ http://psasir.upm.edu.my/id/eprint/52356/1/3.%20Nurul%20Atikah.pdf |
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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 | In this paper, we use multistep block method for solving linear and non-linear Volterra integro-differential equations (VIDEs) of the second kind. The VIDEs will be solved by using the combination of multistep block method of order three and Newton-Cotes quadrature rule of suitable order. The proposed method will solve VIDEs for K (x, s) = 1 and K (x, s) ≠ 1. The stability region of the method will be given. Numerical problems are included to represent the performance of the proposed method. |
| first_indexed | 2025-11-15T10:32:26Z |
| format | Article |
| id | upm-52356 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:32:26Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-523562017-06-05T09:34:19Z http://psasir.upm.edu.my/id/eprint/52356/ Multistep block method for solving Volterra integro-differential equations Mohamed, Nurul Atikah Abdul Majid, Zanariah In this paper, we use multistep block method for solving linear and non-linear Volterra integro-differential equations (VIDEs) of the second kind. The VIDEs will be solved by using the combination of multistep block method of order three and Newton-Cotes quadrature rule of suitable order. The proposed method will solve VIDEs for K (x, s) = 1 and K (x, s) ≠ 1. The stability region of the method will be given. Numerical problems are included to represent the performance of the proposed method. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52356/1/3.%20Nurul%20Atikah.pdf Mohamed, Nurul Atikah and Abdul Majid, Zanariah (2016) Multistep block method for solving Volterra integro-differential equations. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 33-48. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/3.%20Nurul%20Atikah.pdf |
| spellingShingle | Mohamed, Nurul Atikah Abdul Majid, Zanariah Multistep block method for solving Volterra integro-differential equations |
| title | Multistep block method for solving Volterra integro-differential equations |
| title_full | Multistep block method for solving Volterra integro-differential equations |
| title_fullStr | Multistep block method for solving Volterra integro-differential equations |
| title_full_unstemmed | Multistep block method for solving Volterra integro-differential equations |
| title_short | Multistep block method for solving Volterra integro-differential equations |
| title_sort | multistep block method for solving volterra integro-differential equations |
| url | http://psasir.upm.edu.my/id/eprint/52356/ http://psasir.upm.edu.my/id/eprint/52356/ http://psasir.upm.edu.my/id/eprint/52356/1/3.%20Nurul%20Atikah.pdf |