Detail publikace

Taylor Series Based Computation and MATLAB ODE Solvers Comparison

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

Originální název

Taylor Series Based Computation and MATLAB ODE Solvers Comparison

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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].

Klíčová slova

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

Autoři

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

Rok RIV

2013

Vydáno

7. 4. 2013

Nakladatel

American Institute of Physics

Místo

Rhodes

ISBN

978-0-7354-1184-5

Kniha

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

ISSN

0094-243X

Periodikum

AIP conference proceedings

Číslo

1

Stát

Spojené státy americké

Strany od

2289

Strany do

2292

Strany počet

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 Computation and MATLAB ODE Solvers Comparison",
  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/"
}