## THERMAL SCIENCE

International Scientific Journal

### AN EXPLICIT CHARACTERIZATION OF SPHERICAL CURVES ACCORDING TO BISHOP FRAME AND AN APPROXIMATELY SOLUTION

**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.

**KEYWORDS**

PAPER SUBMITTED: 2018-11-01

PAPER REVISED: 2018-12-28

PAPER ACCEPTED: 2019-01-10

PUBLISHED ONLINE: 2019-03-09

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 1**, PAGES [S361 - S370]

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