Bernsteinn polynomials approach to determine timelike curves of constant breadth in Minkowski 3-space

Yıl 2018, Cilt: 3 Sayı: 2, 9 - 22, 30.08.0208

Tuba Agirman Aydin , Mehmet Sezer Huseyin Kocayigit

Öz

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
E₁
³.

Anahtar Kelimeler

Timelike curve of constant breadth, Bernstein polynomials, Linear differential equations

Kaynakça

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