Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space
In this study, we first show that the system of Frenet-like differential equation characterizing timelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational approximation based on Bernstein polynomials, we ob...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
BİSKA Bilisim Company
2018-06-01
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| Series: | Communication in Mathematical Modeling and Applications |
| Subjects: | |
| Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8441 |
| Summary: | In this study, we first show that the system of Frenet-like differential equation characterizing timelike curves of constant breadth is equivalent to a third order, linear, differential equation with variable coefficients. Then, by using a rational approximation based on Bernstein polynomials, we obtain the set of solution of the mentioned differential equation under the given initial conditions. Furthermore, we discuss that the obtained results are useable to determine timelike curves of constant breadth in Minkowski 3-space E_1^3. |
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| ISSN: | 2528-830X 2528-830X |