Publication Details

Taylor Series Based Computations and MATLAB ODE Solvers Comparisons

ŠÁTEK Václav, KUNOVSKÝ Jiří, KOCINA Filip and CHALOUPKA Jan. Taylor Series Based Computation and MATLAB ODE Solvers Comparison. In: Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2013, pp. 2289-2292. ISBN 978-0-7354-1184-5. ISSN 0094-243X.
Czech title
Porovnání numerického řešení ODR s využitím metod Taylorovy řady a MATLAB řešiči
Type
conference paper
Language
english
Authors
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Chaloupka Jan, Ing. (DITS FIT BUT)
Keywords

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

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].

Published
2013
Pages
2289-2292
Journal
AIP Conference Proceedings - American Institute of Physics, no. 1, ISSN 0094-243X
Proceedings
Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics
Conference
11th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
ISBN
978-0-7354-1184-5
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.4825997
UT WoS
000331472800533
EID Scopus
2-s2.0-84887533325
BibTeX 
@INPROCEEDINGS{FITPUB10319,
   author = "V\'{a}clav \v{S}\'{a}tek and Ji\v{r}\'{i} Kunovsk\'{y} and Filip Kocina and Jan Chaloupka",
   title = "Taylor Series Based Computations and MATLAB ODE Solvers Comparisons",
   pages = "2289--2292",
   booktitle = "Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   number = 1,
   year = 2013,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-1184-5",
   ISSN = "0094-243X",
   doi = "10.1063/1.4825997",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10319"
}
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