Abstract

In 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.

Details

Title
An explicit characterization of spherical curves according to bishop frame and an approximately solution
Author
Pınar Balki Okullu; Kocayiğit, Hüseyin; Aydin, Tuba Ağirman
Pages
S361-S370
Section
Recent Advances in Numerical and Computational Mathematics in Fluid Flow and Thermal Processes
Publication year
2019
Publication date
2019
Publisher
Society of Thermal Engineers of Serbia
ISSN
0354-9836
e-ISSN
2334-7163
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.2298/TSCI181101049B
ProQuest document ID
2429072631
Copyright
© 2019. This work is licensed under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.