Numerical computing of isophote curves, general helices, and relatively normal-slant helices in Minkowski 3-space

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dc.authorid0000-0002-8800-7869en_US
dc.authorid0000-0002-3124-6308en_US
dc.authorid0000-0002-9437-3443en_US
dc.contributor.authorÖztürk, Ufuk
dc.contributor.authorNesovic, Emilija
dc.contributor.authorÖztürk, Esra Betül Koç
dc.date.accessioned2024-03-07T13:02:36Z
dc.date.available2024-03-07T13:02:36Z
dc.date.issued2022en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.identifier.citationÖztürk, 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.en_US
dc.identifier.doi10.1002/mma.8474
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-85131719432en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttp://dx.doi.org/10.1002/mma.8474
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12060
dc.identifier.wosWOS:000810588300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorÖztürk, Esra Betül Koç
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneral Helixen_US
dc.subjectInitial Value Problemen_US
dc.subjectIsophote Curveen_US
dc.subjectMinkowski 3-Spaceen_US
dc.subjectRelatively Normal-Slant Helixen_US
dc.subjectRunge-Kutta Methoden_US
dc.titleNumerical computing of isophote curves, general helices, and relatively normal-slant helices in Minkowski 3-spaceen_US
dc.typeArticleen_US

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