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

Balki Okullu P.Kocayigit H.Agirman Aydin T.2025-04-102025-04-102019http://hdl.handle.net/20.500.14701/47541In 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.An explicit characterization of spherical curves according to Bishop frame and an approximately solutionArticle10.2298/TSCI181101049B