Publication Details

Taylor Series Based Integration in Electric Circuits Simulations

ŠÁTEK Václav, VEIGEND Petr and NEČASOVÁ Gabriela. Taylor Series Based Integration in Electric Circuits Simulations. Advances in Electrical and Electronic Engineering, vol. 17, no. 3, 2019, pp. 352-359. ISSN 1804-3119. Available from: http://advances.utc.sk/index.php/AEEE/article/view/3369
Czech title
Numerická integrace Taylorovou řadou v elektrických obvodech
Type
journal article
Language
english
Authors
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
URL
Keywords

Initial value problems, MATLAB, ordinary differential
equations, Taylor series method, telegraph
line, Van der Pol oscillator.

Abstract

This paper deals with the extremely precise, stable and fast solution of the ordinary differential equations. The solution of these is performed using a method based on the Taylor series - The Modern Taylor Series Method. The paper investigates two problems to demonstrate the positive properties of the method: linear problem - the behavior of signal transmission on the telegraph line and a non-linear problem - the Van der Pol oscillator. Both problems were analyzed and solved using newly implemented MATLAB Modern Taylor Series Method solvers. The results were then compared to the state-of-the-art MATLAB solvers.

Published
2019
Pages
352-359
Journal
Advances in Electrical and Electronic Engineering, vol. 17, no. 3, ISSN 1804-3119
Publisher
VŠB - Technical University of Ostrava
DOI
10.15598/aeee.v17i3.3369
UT WoS
000488257400014
EID Scopus
2-s2.0-85073541662
BibTeX 
@ARTICLE{FITPUB11732,
   author = "V\'{a}clav \v{S}\'{a}tek and Petr Veigend and Gabriela Ne\v{c}asov\'{a}",
   title = "Taylor Series Based Integration in Electric Circuits Simulations",
   pages = "352--359",
   journal = "Advances in Electrical and Electronic Engineering",
   volume = 17,
   number = 3,
   year = 2019,
   ISSN = "1804-3119",
   doi = "10.15598/aeee.v17i3.3369",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11732"
}
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