Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space

In this paper, for the approximate solutions of the linear differential equation system with variable coefficients in normal form characterizing curves of constant breadth according to Bishop frame in Euclidean 3-space, it is used a collocation method based on Taylor polynomials and therefore the cu...

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Main Authors:	Muhammed Çetin, Mehmet Sezer, Hüseyin Kocayiğit
Format:	Article
Language:	English
Published:	BİSKA Bilisim Company 2015-06-01
Series:	New Trends in Mathematical Sciences
Subjects:	Curves of constant breadth; Bishop frame; Taylor polynomial and series collocation points; system of differential equations
Online Access:	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=79

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spelling	doaj-559f393d6a9b4f1e82b6621f325130972020-11-25T00:35:05ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202015-06-0133183479Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-spaceMuhammed Çetin0Mehmet Sezer1Hüseyin Kocayiğit2Muhammed Çetin3Mehmet Sezer4Hüseyin Kocayiğit5Celal Bayar University, Faculty of Science, Department of Mathematics, Manisa, TurkeyCelal Bayar University, Faculty of Sciences, Department of Mathematics, Manisa, TurkeyCelal Bayar University, Faculty of Sciences, Department of Mathematics, Manisa, TurkeyCelal Bayar University, Faculty of Science, Department of Mathematics, Manisa, TurkeyCelal Bayar University, Faculty of Sciences, Department of Mathematics, Manisa, TurkeyCelal Bayar University, Faculty of Sciences, Department of Mathematics, Manisa, TurkeyIn this paper, for the approximate solutions of the linear differential equation system with variable coefficients in normal form characterizing curves of constant breadth according to Bishop frame in Euclidean 3-space, it is used a collocation method based on Taylor polynomials and therefore the curves of constant breadth are determined. In addition, an error analysis based on residual function is given for the method. Also, to demonstrate the efficiency of the method, an example is given with the help of computer programmes written in Maple and Matlab.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=79Curves of constant breadth; Bishop frame; Taylor polynomial and seriescollocation points; system of differential equations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammed Çetin Mehmet Sezer Hüseyin Kocayiğit Muhammed Çetin Mehmet Sezer Hüseyin Kocayiğit
spellingShingle	Muhammed Çetin Mehmet Sezer Hüseyin Kocayiğit Muhammed Çetin Mehmet Sezer Hüseyin Kocayiğit Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space New Trends in Mathematical Sciences Curves of constant breadth; Bishop frame; Taylor polynomial and series collocation points; system of differential equations
author_facet	Muhammed Çetin Mehmet Sezer Hüseyin Kocayiğit Muhammed Çetin Mehmet Sezer Hüseyin Kocayiğit
author_sort	Muhammed Çetin
title	Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space
title_short	Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space
title_full	Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space
title_fullStr	Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space
title_full_unstemmed	Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space
title_sort	determination of the curves of constant breadth according to bishop frame in euclidean 3-space
publisher	BİSKA Bilisim Company
series	New Trends in Mathematical Sciences
issn	2147-5520 2147-5520
publishDate	2015-06-01
description	In this paper, for the approximate solutions of the linear differential equation system with variable coefficients in normal form characterizing curves of constant breadth according to Bishop frame in Euclidean 3-space, it is used a collocation method based on Taylor polynomials and therefore the curves of constant breadth are determined. In addition, an error analysis based on residual function is given for the method. Also, to demonstrate the efficiency of the method, an example is given with the help of computer programmes written in Maple and Matlab.
topic	Curves of constant breadth; Bishop frame; Taylor polynomial and series collocation points; system of differential equations
url	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=79
work_keys_str_mv	AT muhammedcetin determinationofthecurvesofconstantbreadthaccordingtobishopframeineuclidean3space AT mehmetsezer determinationofthecurvesofconstantbreadthaccordingtobishopframeineuclidean3space AT huseyinkocayigit determinationofthecurvesofconstantbreadthaccordingtobishopframeineuclidean3space AT muhammedcetin determinationofthecurvesofconstantbreadthaccordingtobishopframeineuclidean3space AT mehmetsezer determinationofthecurvesofconstantbreadthaccordingtobishopframeineuclidean3space AT huseyinkocayigit determinationofthecurvesofconstantbreadthaccordingtobishopframeineuclidean3space
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Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space

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