Citation
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
Abstract
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.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol10s...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Notes: | Special issue: The 7th International Conference on Research and Education in Mathematics (ICREM7) |
| Keywords: | Volterra integro-differential equations; Multistep block method; Quadrature rule |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 05 Jun 2017 09:34 |
| Last Modified: | 05 Jun 2017 09:34 |
| URI: | http://psasir.upm.edu.my/id/eprint/52356 |
| Statistic Details: | View Download Statistic |
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