Taylor-Matrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4-Space

Tuba AĞIRMAN AYDIN; Mehmet SEZER

doi:https://doi.org/10.18466/cbayarfbe.416121

Article Details

Taylor-Matrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4-Space

Authors:

Tuba AĞIRMAN AYDIN | Mehmet SEZER

Publisher:

Celal Bayar University

Main Topics:

Applied physics

Journal:

Celal Bayar University Journal of Science 2019 Vol.15 Issue 1, pp.1-7

Document Type:

Article

Publication Date:

3/2019

Document Language:

English

Document ID (Org No.):

2000706094

Frequency:

Quarterly

eISSN:

1305-1385

pISSN:

1305-130X

DOI:

https://doi.org/10.18466/cbayarfbe.416121

Abstract:

 


In this study we consider a third order linear differential equation
with variable coefficients characterizing spherical curves according to Frenet
frame in Euclidean 4-Space . This equation whose coefficients are related to special function,
curvature and torsion, is satisfied by the position vector of any regular unit
velocity spherical curve. These type equations are generally impossible to
solve analytically and so, for approximate solution we present a numerical method
based on Taylor polynomials and collocations points by using initial
conditions. Our method reduces the solution of problem to the solution of a
system of algebraic equations and the approximate solution is obtained in terms
of Taylor polynomials.

.

Article Details

Taylor-Matrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4-Space

Authors: Tuba AĞIRMAN AYDIN | Mehmet SEZER

Publisher: Celal Bayar University

Main Topics: Applied physics

Journal: Celal Bayar University Journal of Science 2019 Vol.15 Issue 1, pp.1-7

Document Type: Article

Publication Date: 3/2019

Document Language: English

Document ID (Org No.): 2000706094

Frequency: Quarterly

eISSN: 1305-1385

pISSN: 1305-130X

DOI: https://doi.org/10.18466/cbayarfbe.416121

Issues

Authors:

Tuba AĞIRMAN AYDIN | Mehmet SEZER

Publisher:

Celal Bayar University

Main Topics:

Applied physics

Journal:

Celal Bayar University Journal of Science 2019 Vol.15 Issue 1, pp.1-7

Document Type:

Article

Publication Date:

3/2019

Document Language:

English

Document ID (Org No.):

2000706094

Frequency:

Quarterly

eISSN:

1305-1385

pISSN:

1305-130X

DOI:

https://doi.org/10.18466/cbayarfbe.416121