Publication Details

Electronic Representation of Wave Equation

VEIGEND, P.; KUNOVSKÝ, J.; KOCINA, F.; NEČASOVÁ, G.; ŠÁTEK, V.; VALENTA, V. Electronic Representation of Wave Equation. In 13rd International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. p. 1-4. ISBN: 978-0-7354-1392-4. ISSN: 0094-243X.
Czech title
Elektronická reprezentace vlnové rovnice
Type
conference paper
Language
English
Authors
Veigend Petr, Ing., Ph.D. (DITS)
Kunovský Jiří, doc. Ing., CSc.
Kocina Filip, Ing., Ph.D.
Nečasová Gabriela, Ing., Ph.D. (DITS)
Šátek Václav, Ing., Ph.D. (DITS)
Valenta Václav, Ing., Ph.D.
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, 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
DOI
10.1063/1.4952174
UT WoS
000380803300398
EID Scopus
2-s2.0-84984548948
BibTeX 
@inproceedings{BUT120375,
  author="Petr {Veigend} and Jiří {Kunovský} and Filip {Kocina} and Gabriela {Nečasová} and Václav {Šátek} and Václav {Valenta}",
  title="Electronic Representation of Wave Equation",
  booktitle="13rd International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  number="1738",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4952174",
  isbn="978-0-7354-1392-4",
  issn="0094-243X",
  url="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"
}
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