An explicit characterization of spherical curves according to Bishop frame and an approximately solution

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dc.contributor.authorBalki Okullu P.
dc.contributor.authorKocayigit H.
dc.contributor.authorAgirman Aydin T.
dc.date.accessioned2024-07-22T08:09:11Z
dc.date.available2024-07-22T08:09:11Z
dc.date.issued2019
dc.description.abstractIn this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method. © 2019 Society of Thermal Engineers of Serbia.
dc.identifier.DOI-ID10.2298/TSCI181101049B
dc.identifier.issn03549836
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14718
dc.language.isoEnglish
dc.publisherSerbian Society of Heat Transfer Engineers
dc.rightsAll Open Access; Bronze Open Access; Green Open Access
dc.subjectSpheres
dc.subjectBernstein series solution method
dc.subjectBishop frame
dc.subjectLinear differential equation
dc.subjectPosition vector
dc.subjectSeries solutions
dc.subjectSolution methods
dc.subjectSpherical curve
dc.subjectThird order
dc.subjectDifferential equations
dc.titleAn explicit characterization of spherical curves according to Bishop frame and an approximately solution
dc.typeArticle

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