Solving Delay Differential Equations by an Accurate Method with Interpolation

We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of...

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Main Authors:	Ali Akgül, Adem Kiliçman
Format:	Article
Language:	English
Published:	Hindawi Limited 2015-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2015/676939

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record_format	Article
spelling	doaj-2bb55f8388d24cf3b409ae9535d9355a2020-11-25T00:01:45ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/676939676939Solving Delay Differential Equations by an Accurate Method with InterpolationAli Akgül0Adem Kiliçman1Department of Mathematics, Education Faculty, Dicle University, 21280 Diyarbakır, TurkeyDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaWe use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of the results with exact ones is made to confirm the validity and efficiency.http://dx.doi.org/10.1155/2015/676939
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ali Akgül Adem Kiliçman
spellingShingle	Ali Akgül Adem Kiliçman Solving Delay Differential Equations by an Accurate Method with Interpolation Abstract and Applied Analysis
author_facet	Ali Akgül Adem Kiliçman
author_sort	Ali Akgül
title	Solving Delay Differential Equations by an Accurate Method with Interpolation
title_short	Solving Delay Differential Equations by an Accurate Method with Interpolation
title_full	Solving Delay Differential Equations by an Accurate Method with Interpolation
title_fullStr	Solving Delay Differential Equations by an Accurate Method with Interpolation
title_full_unstemmed	Solving Delay Differential Equations by an Accurate Method with Interpolation
title_sort	solving delay differential equations by an accurate method with interpolation
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2015-01-01
description	We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of the results with exact ones is made to confirm the validity and efficiency.
url	http://dx.doi.org/10.1155/2015/676939
work_keys_str_mv	AT aliakgul solvingdelaydifferentialequationsbyanaccuratemethodwithinterpolation AT ademkilicman solvingdelaydifferentialequationsbyanaccuratemethodwithinterpolation
_version_	1725440533380202496

Solving Delay Differential Equations by an Accurate Method with Interpolation

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