Detail publikačního výsledku

Electronic Representation of Wave Equation

VEIGEND, P.; KUNOVSKÝ, J.; KOCINA, F.; NEČASOVÁ, G.; ŠÁTEK, V.; VALENTA, V.

Originální název

Electronic Representation of Wave Equation

Anglický název

Electronic Representation of Wave Equation

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Differential Equations; Taylor Series Method; Telegraph Equation; TKSL

Klíčová slova v angličtině

Differential Equations; Taylor Series Method; Telegraph Equation; TKSL

Autoři

VEIGEND, P.; KUNOVSKÝ, J.; KOCINA, F.; NEČASOVÁ, G.; ŠÁTEK, V.; VALENTA, V.

Rok RIV

2018

Vydáno

23.09.2015

Nakladatel

American Institute of Physics

Místo

Rhodes

ISBN

978-0-7354-1392-4

Kniha

13rd International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Číslo

1738

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

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

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"
}