Sasakian 3流形中Legendre曲线的Legendre矩阵法

IF 1.8 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Foundations of Computing and Decision Sciences Pub Date : 2021-09-01 DOI:10.2478/fcds-2021-0014

Tuba Ağirman Aydin, M. Sezer, H. Kocayiğit

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引用次数: 0

摘要

摘要本文研究了Sasakian三流形的单位速度勒让德曲线。首先，得到了勒让德曲线的微分方程，并解释了近似解的方法。然后，利用勒让德矩阵配置法，得到了勒让德曲线的一个特征的近似解。此外，还制作了一个示例应用程序，使该方法更易于理解。最后，借助这些方程和近似解，检验了这种曲线类型的几何性质。

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Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

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.

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来源期刊

Foundations of Computing and Decision Sciences COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-

CiteScore

2.20

自引率

9.10%

发文量

审稿时长

29 weeks