Determining constant breadth curve mate of a curve on a surface via Taylor collocation method

Determining constant breadth curve mate of a curve on a surface via Taylor collocation method

In this paper, a system of differential equations characterizing constant breadth curve mate of a curve on a surface is given. It is shown that a collocation method based on Taylor polynomials can be used to find approximate solutions of the system. Then, an example is given to illustrate the effici...

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Bibliographic Details
Main Authors: Burak Şahiner, Mehmet Sezer
Format: Article
Language:English
Published: BİSKA Bilisim Company 2018-08-01
Series:New Trends in Mathematical Sciences
Subjects:
curves of constant breadth
Darboux frame
Taylor collocation method
system of differential equations
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8454
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spelling doaj-6af2878adf0c48cc839741e01068f5a92020-11-25T00:14:19ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202018-08-016310311510.20852/ntmsci.2018.2998454Determining constant breadth curve mate of a curve on a surface via Taylor collocation methodBurak Şahiner0Mehmet Sezer1Manisa Celal Bayar UniversityManisa Celal Bayar UniversityIn this paper, a system of differential equations characterizing constant breadth curve mate of a curve on a surface is given. It is shown that a collocation method based on Taylor polynomials can be used to find approximate solutions of the system. Then, an example is given to illustrate the efficiency of the method.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8454curves of constant breadthDarboux frameTaylor collocation methodsystem of differential equations
collection DOAJ
language English
format Article
sources DOAJ
author Burak Şahiner
Mehmet Sezer
spellingShingle Burak Şahiner
Mehmet Sezer
Determining constant breadth curve mate of a curve on a surface via Taylor collocation method
New Trends in Mathematical Sciences
curves of constant breadth
Darboux frame
Taylor collocation method
system of differential equations
author_facet Burak Şahiner
Mehmet Sezer
author_sort Burak Şahiner
title Determining constant breadth curve mate of a curve on a surface via Taylor collocation method
title_short Determining constant breadth curve mate of a curve on a surface via Taylor collocation method
title_full Determining constant breadth curve mate of a curve on a surface via Taylor collocation method
title_fullStr Determining constant breadth curve mate of a curve on a surface via Taylor collocation method
title_full_unstemmed Determining constant breadth curve mate of a curve on a surface via Taylor collocation method
title_sort determining constant breadth curve mate of a curve on a surface via taylor collocation method
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2018-08-01
description In this paper, a system of differential equations characterizing constant breadth curve mate of a curve on a surface is given. It is shown that a collocation method based on Taylor polynomials can be used to find approximate solutions of the system. Then, an example is given to illustrate the efficiency of the method.
topic curves of constant breadth
Darboux frame
Taylor collocation method
system of differential equations
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8454
work_keys_str_mv AT buraksahiner determiningconstantbreadthcurvemateofacurveonasurfaceviataylorcollocationmethod
AT mehmetsezer determiningconstantbreadthcurvemateofacurveonasurfaceviataylorcollocationmethod
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