Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

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Aydin T. A., Sezer M., KOCAYİĞİT H.

Foundations of Computing and Decision Sciences, cilt.46, sa.3, ss.205-219, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2478/fcds-2021-0014
  • Dergi Adı: Foundations of Computing and Decision Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.205-219
  • Anahtar Kelimeler: Contact manifold, Legendre curves, Legendre matrix method, Sasakian 3-Manifold
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.