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Multistep block method for solving Volterra integro-differential equations


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


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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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
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