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The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method

Link to publisher's homepage at https://amci.unimap.edu.my/

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Main Authors: Nurul Huda, Abdul Aziz, Zanariah, Abdul Majid
Other Authors: hudaaziz@unimap.edu.my
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2020
Subjects:
Derivative of discontinuity
Retarded functional differential equations
Runge-Kutta Felhberg
Linear multistep method
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63746
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spelling my.unimap-637462020-01-07T13:49:45Z The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method Nurul Huda, Abdul Aziz Zanariah, Abdul Majid hudaaziz@unimap.edu.my Derivative of discontinuity Retarded functional differential equations Runge-Kutta Felhberg Linear multistep method Link to publisher's homepage at https://amci.unimap.edu.my/ In this paper, the technique of discontinuity tracking equations was proposed in order to deal with the derivative discontinuities in the numerical solution of functional differential equation. This technique will be adapted in a linear multistep method with the support of Runge-Kutta Felhberg step size strategy. Naturally, the existence of discontinuities will produce a large number of failure steps that can lead to inaccurate results. In order to get a smooth solution, the technique of detect, locate, and treat of the discontinuities has been included in the developed algorithm. The numerical results have shown that this technique not only can improve the solution in terms of smoothness but it also enhances the efficiency and accuracy of the proposed method. 2020-01-07T13:49:45Z 2020-01-07T13:49:45Z 2019-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.8(1), 2019, pages 1-8 https://amci.unimap.edu.my/ 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63746 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 Derivative of discontinuity
Retarded functional differential equations
Runge-Kutta Felhberg
Linear multistep method
spellingShingle Derivative of discontinuity
Retarded functional differential equations
Runge-Kutta Felhberg
Linear multistep method
Nurul Huda, Abdul Aziz
Zanariah, Abdul Majid
The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 hudaaziz@unimap.edu.my
author_facet hudaaziz@unimap.edu.my
Nurul Huda, Abdul Aziz
Zanariah, Abdul Majid
format Article
author Nurul Huda, Abdul Aziz
Zanariah, Abdul Majid
author_sort Nurul Huda, Abdul Aziz
title The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method
title_short The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method
title_full The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method
title_fullStr The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method
title_full_unstemmed The technique of discontinuity tracking equations for functional differential equations in 1-Point Implicit Method
title_sort technique of discontinuity tracking equations for functional differential equations in 1-point implicit method
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2020
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63746
_version_ 1670805819581530112
score 13.211869

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