Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2021-09-01
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| Series: | Foundations of Computing and Decision Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/fcds-2021-0014 |
| _version_ | 1811214985154527232 |
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| author | Aydin Tuba Ağirman Sezer Mehmet Kocayiğit Hüseyin |
| author_facet | Aydin Tuba Ağirman Sezer Mehmet Kocayiğit Hüseyin |
| author_sort | Aydin Tuba Ağirman |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T06:14:47Z |
| format | Article |
| id | doaj.art-479ae63519464286bab927089e8b8adc |
| institution | Directory Open Access Journal |
| issn | 2300-3405 |
| language | English |
| last_indexed | 2024-04-12T06:14:47Z |
| publishDate | 2021-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Foundations of Computing and Decision Sciences |
| spelling | doaj.art-479ae63519464286bab927089e8b8adc2022-12-22T03:44:32ZengSciendoFoundations of Computing and Decision Sciences2300-34052021-09-0146320521910.2478/fcds-2021-0014Legendre Matrix Method for Legendre Curve in Sasakian 3-ManifoldAydin Tuba Ağirman0Sezer Mehmet1Kocayiğit Hüseyin2Faculty of education, Bayburt University, Bayburt, TurkeyDepartment of Mathematics, Celal Bayar University, Manisa, TurkeyDepartment of Mathematics, Celal Bayar University, Manisa, TurkeyIn 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.https://doi.org/10.2478/fcds-2021-0014legendre curvescontact manifoldlegendre matrix methodsasakian 3-manifold |
| spellingShingle | Aydin Tuba Ağirman Sezer Mehmet Kocayiğit Hüseyin Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold Foundations of Computing and Decision Sciences legendre curves contact manifold legendre matrix method sasakian 3-manifold |
| title | Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold |
| title_full | Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold |
| title_fullStr | Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold |
| title_full_unstemmed | Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold |
| title_short | Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold |
| title_sort | legendre matrix method for legendre curve in sasakian 3 manifold |
| topic | legendre curves contact manifold legendre matrix method sasakian 3-manifold |
| url | https://doi.org/10.2478/fcds-2021-0014 |
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