Balki Okullu P.Kocayigit H.Agirman Aydin T.2024-07-222024-07-22201903549836http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14718In 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.EnglishAll Open Access; Bronze Open Access; Green Open AccessSpheresBernstein series solution methodBishop frameLinear differential equationPosition vectorSeries solutionsSolution methodsSpherical curveThird orderDifferential equationsArticle10.2298/TSCI181101049B