Publication result detail

Taylor Series Based Computations and MATLAB ODE Solvers Comparisons

ŠÁTEK, V.; KUNOVSKÝ, J.; KOCINA, F.; CHALOUPKA, J.

Original Title

Taylor Series Based Computations and MATLAB ODE Solvers Comparisons

English Title

Taylor Series Based Computations and MATLAB ODE Solvers Comparisons

Type

Paper in proceedings (conference paper)

Original Abstract

The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms.
The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].

English abstract

The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms.
The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].

Keywords

Taylor series method, Ordinary Differential Equations, Initial Value Problems, MATLAB ode Solvers

Key words in English

Taylor series method, Ordinary Differential Equations, Initial Value Problems, MATLAB ode Solvers

Authors

ŠÁTEK, V.; KUNOVSKÝ, J.; KOCINA, F.; CHALOUPKA, J.

RIV year

2014

Released

07.04.2013

Publisher

American Institute of Physics

Location

Rhodes

ISBN

978-0-7354-1184-5

Book

Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Number

1

State

United States of America

Pages from

2289

Pages to

2292

Pages count

4

URL

https://www.fit.vut.cz/research/publication/10319/

BibTex

@inproceedings{BUT105968,
  author="Václav {Šátek} and Jiří {Kunovský} and Filip {Kocina} and Jan {Chaloupka}",
  title="Taylor Series Based Computations and MATLAB ODE Solvers Comparisons",
  booktitle="Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics",
  year="2013",
  journal="AIP conference proceedings",
  number="1",
  pages="2289--2292",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4825997",
  isbn="978-0-7354-1184-5",
  issn="0094-243X",
  url="https://www.fit.vut.cz/research/publication/10319/"
}

Documents

1.4825997