Publication Details

Electronic Representation of Wave Equation

VEIGEND Petr, KUNOVSKÝ Jiří, KOCINA Filip, NEČASOVÁ Gabriela, ŠÁTEK Václav and VALENTA Václav. Electronic Representation of Wave Equation. In: 13rd International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1392-4. ISSN 0094-243X. Available from: https://www.scopus.com/record/display.uri?eid=2-s2.0-84984548948&origin=resultslist&sort=plf-f&src=s&st1=Electronic+Representation+of+Wave+Equation&st2=&sid=124ED7E8734090D5B21AEE9C5813DCB8.FZg2ODcJC9ArCe8WOZPvA%3a10&sot=b&sdt=b&sl=49&s=TITLE%28Electronic
Czech title
Elektronická reprezentace vlnové rovnice
Type
conference paper
Language
english
Authors
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Valenta Václav, Ing. (DITS FIT BUT)
URL
Keywords

Differential Equations; Taylor Series Method; Telegraph Equation; TKSL

Abstract

The Taylor series method for solving differential equations represents a non-traditional way of a numerical solution. Even though this method is not much preferred in the literature, experimental calculations done at the Department of Intelligent Systems of the Faculty of Information Technology of TU Brno have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. This paper deals with solution of Telegraph equation using modelling of a series small pieces of the wire. Corresponding differential equations are solved by the Modern Taylor Series Method.

Published
2015
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, no. 1738, ISSN 0094-243X
Proceedings
13rd International Conference of Numerical Analysis and Applied Mathematics
Conference
13rd International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
ISBN
978-0-7354-1392-4
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.4952174
UT WoS
000380803300398
EID Scopus
2-s2.0-84984548948
BibTeX 
@INPROCEEDINGS{FITPUB10857,
   author = "Petr Veigend and Ji\v{r}\'{i} Kunovsk\'{y} and Filip Kocina and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek and V\'{a}clav Valenta",
   title = "Electronic Representation of Wave Equation",
   pages = "1--4",
   booktitle = "13rd International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   number = 1738,
   year = 2015,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-1392-4",
   ISSN = "0094-243X",
   doi = "10.1063/1.4952174",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10857"
}
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