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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BİSKA Bilisim Company
2018-06-01
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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 |
work_keys_str_mv |
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1725901666590392320 |