Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

• Autorzy: Aydin Tuba Ağirman , Sezer Mehmet , Kocayiğit Hüseyin

Identyfikatory

DOI

10.2478/fcds-2021-0014

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Legendre curve; Legendre matrix method; contact manifold; Sasakian manifold

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Computing and Decision Sciences
• Rocznik: 2021
• Tom: Vol. 46, No. 3
• Strony: 205--219
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Aydin Tuba Ağirman

• Faculty of education Bayburt University, Bayburt, Turkey

autor

Sezer Mehmet

• Department of Mathematics, Celal Bayar University, Manisa, Turkey

autor

Kocayiğit Hüseyin

• Department of Mathematics, Celal Bayar University, Manisa, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).