Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold-Reference-Cited by-同舟云学术

Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

Published:2021-09-01 Issue:3 Volume:46 Page:205-219
ISSN:2300-3405
Container-title:Foundations of Computing and Decision Sciences
language:en
Short-container-title:

Author:

Aydin Tuba Ağirman¹,Sezer Mehmet²,Kocayiğit Hüseyin²

Affiliation:

1. Faculty of education , Bayburt University , Bayburt , Turkey

2. Department of Mathematics , Celal Bayar University , Manisa , Turkey

Abstract

Abstract In this study, unit-speed the Legendre curves are studied in Sasakian 3-manifold. Firstly, differential equations characterizing the Legendre curves are obtained and the method used for the approximate solution is explained. Then, the approximate solution is found for one of the characterizations of the Legendre curve with the Legendre matrix collocation method. In addition, a sample application is made to make the method more understandable. And finally, with the help of these equations and the approximate solution, the geometric properties of this curve type are examined.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/fcds-2021-0014

Reference15 articles.

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