Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

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Date

2021

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Journal Title

Journal ISSN

Volume Title

Publisher

Sciendo

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. © 2021 Tuba Aǧirman Aydin et al., published by Sciendo.

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Keywords

3-manifold , Approximate solution , Contact manifold , Legendre , Legendre curve , Legendre matrix method , matrix , Matrix methods , Sasakian 3-manifold , Differential equations

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13213

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