Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space

In this study, we first show that the system of Frenet-like differential equation characterizing timelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational approximation based on Bernstein polynomials, we ob...

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Main Authors:	TUBA AGIRMAN AYDIN, Mehmet SEZER, Hüseyin KOCAYİĞİT
Format:	Article
Language:	English
Published:	BİSKA Bilisim Company 2018-06-01
Series:	Communication in Mathematical Modeling and Applications
Subjects:	Timelike curve of constant breadth; Bernstein polynomials; Linear differential equations Minkowski 3-space.
Online Access:	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441

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spelling	doaj-8566b90b52f74a738ab5151ecbfb464a2020-11-24T21:46:31ZengBİSKA Bilisim CompanyCommunication in Mathematical Modeling and Applications2528-830X2528-830X2018-06-01320090228441Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-spaceTUBA AGIRMAN AYDIN0TUBA AGIRMAN AYDIN1Mehmet SEZER2Hüseyin KOCAYİĞİT3BAYBURT UniversityBAYBURT UniversityManisa Celal Bayar Uni.Manisa Celal Bayar Uni.In this study, we first show that the system of Frenet-like differential equation characterizing timelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational approximation based on Bernstein polynomials, we obtain the set of solution of the mentioned differential equation under the given initial conditions. Furthermore, we discuss that the obtained results are useable to determine timelike curves of constant breadth in Minkowski 3-space E_1^3.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441Timelike curve of constant breadth; Bernstein polynomials; Linear differential equationsMinkowski 3-space.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	TUBA AGIRMAN AYDIN TUBA AGIRMAN AYDIN Mehmet SEZER Hüseyin KOCAYİĞİT
spellingShingle	TUBA AGIRMAN AYDIN TUBA AGIRMAN AYDIN Mehmet SEZER Hüseyin KOCAYİĞİT Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space Communication in Mathematical Modeling and Applications Timelike curve of constant breadth; Bernstein polynomials; Linear differential equations Minkowski 3-space.
author_facet	TUBA AGIRMAN AYDIN TUBA AGIRMAN AYDIN Mehmet SEZER Hüseyin KOCAYİĞİT
author_sort	TUBA AGIRMAN AYDIN
title	Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space
title_short	Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space
title_full	Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space
title_fullStr	Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space
title_full_unstemmed	Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space
title_sort	bernsteinn polynomials approach to determine timelike curves of constant breadth in minkowski 3-space
publisher	BİSKA Bilisim Company
series	Communication in Mathematical Modeling and Applications
issn	2528-830X 2528-830X
publishDate	2018-06-01
description	In this study, we first show that the system of Frenet-like differential equation characterizing timelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational approximation based on Bernstein polynomials, we obtain the set of solution of the mentioned differential equation under the given initial conditions. Furthermore, we discuss that the obtained results are useable to determine timelike curves of constant breadth in Minkowski 3-space E_1^3.
topic	Timelike curve of constant breadth; Bernstein polynomials; Linear differential equations Minkowski 3-space.
url	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441
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Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space

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