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Behaviour of solutions of the volterra integro-differential equations using numerical methods

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Bibliographic Details
Main Author: Useni Paul Fatiye
Other Authors: paul_useni@yahoo.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2022
Subjects:
Volterra
Integro-differential equation
Explicit method
Implicit method and numerical method
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74164
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spelling my.unimap-741642022-02-15T07:04:38Z Behaviour of solutions of the volterra integro-differential equations using numerical methods Useni Paul Fatiye paul_useni@yahoo.com Volterra Integro-differential equation Explicit method Implicit method and numerical method Link to publisher's homepage at https://amci.unimap.edu.my/ This paper is interested in solving Volterra integro-differential equation with associated initial condition. The Implicit Euler method was used to approximate the derivatives and the Explicit Euler method to approximate the integral as the numerical schemes. The result shows that the long term qualitative behaviour of the solutions obtained from the schemes with different choices of λ and step-sizes of h values are independent of the parameters. Finally, the comparison of the exact solution of the original integro-differential equation (1) with the numerical schemes shows that the qualitative behaviour of the solutions are all the same. 2022-02-15T07:04:38Z 2022-02-15T07:04:38Z 2021-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.10(1), 2021, pages 18-31 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74164 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Volterra
Integro-differential equation
Explicit method
Implicit method and numerical method
spellingShingle Volterra
Integro-differential equation
Explicit method
Implicit method and numerical method
Useni Paul Fatiye
Behaviour of solutions of the volterra integro-differential equations using numerical methods
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 paul_useni@yahoo.com
author_facet paul_useni@yahoo.com
Useni Paul Fatiye
format Article
author Useni Paul Fatiye
author_sort Useni Paul Fatiye
title Behaviour of solutions of the volterra integro-differential equations using numerical methods
title_short Behaviour of solutions of the volterra integro-differential equations using numerical methods
title_full Behaviour of solutions of the volterra integro-differential equations using numerical methods
title_fullStr Behaviour of solutions of the volterra integro-differential equations using numerical methods
title_full_unstemmed Behaviour of solutions of the volterra integro-differential equations using numerical methods
title_sort behaviour of solutions of the volterra integro-differential equations using numerical methods
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2022
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74164
_version_ 1729704734551441408
score 13.214268

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