Numerical computing of isophote curves, general helices, and relatively normal-slant helices in Minkowski 3-space
Yükleniyor...
Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present a method for numerical computing of some characteristic kinds of non-null curves lying on a non-degenerate surface in Minkowski space 13. Namely, we obtain the system of the first-order ordinary differential equations that correspond to general helix, relatively normal-slant helix, and isophote curve and integrate it under chosen initial conditions by applying the ode45 function of MATLAB and Runge-Kutta method. Depending on the kind of curve, we assume that parametric equation of the surface, an axis vector, value of the real cosine or hyperbolic cosine of the corresponding pseudo angle between axis vector and Darboux frame's vector, normal curvature, and geodesic torsion of the curve are given. Finally, we provide the related examples of numerically computed characteristic curves.
Açıklama
Anahtar Kelimeler
General Helix, Initial Value Problem, Isophote Curve, Minkowski 3-Space, Relatively Normal-Slant Helix, Runge-Kutta Method
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Öztürk, U., Nešović, E., & Koç Öztürk, E. B. (2022). Numerical computing of isophote curves, general helices, and relatively normal‐slant helices in Minkowski 3‐space. Mathematical Methods in the Applied Sciences.
