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

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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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Institution:	Universiti Malaysia Perlis
Language:	English

id	my.unimap-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

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

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