A Numerical Approach for Solving the System of Differential Equations Related to the Spherical Curves in Euclidean 3-Space

Authors : Seda Çayan, Hüseyin Kocayiğit, Mehmet Sezer

Pages : 84-96

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Publication Date : 2019-12-31

Article Type : Research Paper

Abstract :In 1971, integral form of spherical curve in 3-dimensional Euclidean space  was given in [3]. The explicit characterization of the spherical curves in n-dimensional Euclidean space was  given in [12]. Morever, the position vector of spherical curves in Euclidean 3-space was determined in [10]. In the present  work, a);  it is given the system of differential equations of the spherical curves in 3-dimensional Euclidean space; b); it is shown that the numerical solutions of this system of differential equations are obtained in the truncated Taylor series form by using Taylor matris collocation method; c); an example together with error analysis are given to demonstrate the validity and applicability of present  method.
Keywords : Spherical curves, Taylor matrix collocation method, residual error analysis

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