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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...

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Main Authors: Mohamed, Nurul Atikah, Abdul Majid, Zanariah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/57442/1/One-step%20block%20method%20for%20solving%20Volterra%20integro-differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57442/
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Conference or Workshop Item
author Mohamed, Nurul Atikah
Abdul Majid, Zanariah
spellingShingle Mohamed, Nurul Atikah
Abdul Majid, Zanariah
One-step block method for solving Volterra integro-differential equations
author_facet Mohamed, Nurul Atikah
Abdul Majid, Zanariah
author_sort Mohamed, Nurul Atikah
title One-step block method for solving Volterra integro-differential equations
title_short 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_sort one-step block method for solving volterra integro-differential equations
publisher AIP Publishing LLC
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/57442/1/One-step%20block%20method%20for%20solving%20Volterra%20integro-differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/57442/
_version_ 1643836488665792512
score 13.211869

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