Conference paper

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.
Publication language:english
Original title:Taylor Series Based Computations and MATLAB ODE Solvers Comparisons
Title (cs):Porovnání numerického řešení ODR s využitím metod Taylorovy řady a MATLAB řešiči
Pages:2289-2292
Proceedings:Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics
Conference:11th International Conference of Numerical Analysis and Applied Mathematics
Place:Rhodes, GR
Year:2013
ISBN:978-0-7354-1184-5
Journal:AIP Conference Proceedings - American Institute of Physics, No. 1, US
ISSN:0094-243X
Publisher:American Institute of Physics
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Keywords
Taylor series method, Ordinary Differential Equations, Initial Value Problems, MATLAB ode Solvers
Annotation
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].
BibTeX:
@INPROCEEDINGS{
   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},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10319}
}

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