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.
Spherical curves Taylor matrix collocation method residual error analysis
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 31 Aralık 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 11 Sayı: 2 |