In this study we consider a third order linear differential equation
with variable coefficients characterizing spherical curves according to Frenet
frame in Euclidean 4Space . 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.
Primary Language  en 

Subjects  Engineering 
Published Date  22032019 
Journal Section  Articles 
Authors 

Bibtex  @research article { cbayarfbe416121,
journal = {Celal Bayar University Journal of Science},
issn = {1305130X},
eissn = {13051385},
address = {Celal Bayar University},
year = {2019},
volume = {15},
pages = {1  7},
doi = {10.18466/cbayarfbe.416121},
title = {TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space},
key = {cite},
author = {Ağırman Aydın, Tuba and Sezer, Mehmet}
} 
APA  Ağırman Aydın, T , Sezer, M . (2019). TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space. Celal Bayar University Journal of Science, 15 (1), 17. DOI: 10.18466/cbayarfbe.416121 
MLA  Ağırman Aydın, T , Sezer, M . "TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space". Celal Bayar University Journal of Science 15 (2019): 17 <http://dergipark.org.tr/cbayarfbe/issue/44005/416121> 
Chicago  Ağırman Aydın, T , Sezer, M . "TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space". Celal Bayar University Journal of Science 15 (2019): 17 
RIS  TY  JOUR T1  TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space AU  Tuba Ağırman Aydın , Mehmet Sezer Y1  2019 PY  2019 N1  doi: 10.18466/cbayarfbe.416121 DO  10.18466/cbayarfbe.416121 T2  Celal Bayar University Journal of Science JF  Journal JO  JOR SP  1 EP  7 VL  15 IS  1 SN  1305130X13051385 M3  doi: 10.18466/cbayarfbe.416121 UR  https://doi.org/10.18466/cbayarfbe.416121 Y2  2019 ER  
EndNote  %0 Celal Bayar University Journal of Science TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space %A Tuba Ağırman Aydın , Mehmet Sezer %T TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space %D 2019 %J Celal Bayar University Journal of Science %P 1305130X13051385 %V 15 %N 1 %R doi: 10.18466/cbayarfbe.416121 %U 10.18466/cbayarfbe.416121 
ISNAD  Ağırman Aydın, Tuba , Sezer, Mehmet . "TaylorMatrix Collocation Method to Solution of Differential Equations Characterizing Spherical Curves in Euclidean 4Space". Celal Bayar University Journal of Science 15 / 1 (March 2019): 17. https://doi.org/10.18466/cbayarfbe.416121 