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

Seda Çayan; Hüseyin Kocayiğit; Mehmet Sezer

Makale detayları

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

Yazarlar:

Seda Çayan | Hüseyin Kocayiğit | Mehmet Sezer

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2019 Vol.11 Issue 2, pp.84-96

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000638494

Sıklık:

İki Yıllık

eISSN:

2148-1830

Özet:

 


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.

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Makale detayları

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

Yazarlar: Seda Çayan | Hüseyin Kocayiğit | Mehmet Sezer

Yayıncı: Matematikçiler Derneği

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics and Computer Science 2019 Vol.11 Issue 2, pp.84-96

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000638494

Sıklık: İki Yıllık

eISSN: 2148-1830

Sayı

Yazarlar:

Seda Çayan | Hüseyin Kocayiğit | Mehmet Sezer

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2019 Vol.11 Issue 2, pp.84-96

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000638494

Sıklık:

İki Yıllık

eISSN:

2148-1830