Publication Details

Telegraph Equation and Corresponding Wave Forms

KUNOVSKÝ, J.; ŠÁTEK, V.; SZÖLLÖS, A. Telegraph Equation and Corresponding Wave Forms. Proceeding of the 12th International Scientific Conference Electric Power Engineering 2011. Ostrava: VŠB-Technical University of Ostrava, 2011. p. 1-4. ISBN: 978-80-248-2393-5.
Czech title
Telegrafní rovnice a její příslušné vlnové formy
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Szöllös Alexandr, Ing.
Keywords

Telegraph equation, Differential equations, Modern Taylor Series Method, Stiff systems

Abstract

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 numerical solution of Telegraph equation using modeling of a series small pieces of the wire. Corresponding differential equations are solved by the Modern Taylor Series Method. As the solution is represented by a stiff problem, implicit numerical methods are presented.

Published
2011
Pages
1–4
Proceedings
Proceeding of the 12th International Scientific Conference Electric Power Engineering 2011
ISBN
978-80-248-2393-5
Publisher
VŠB-Technical University of Ostrava
Place
Ostrava
BibTeX 
@inproceedings{BUT76429,
  author="Jiří {Kunovský} and Václav {Šátek} and Alexandr {Szöllös}",
  title="Telegraph Equation and Corresponding Wave Forms",
  booktitle="Proceeding of the 12th International Scientific Conference Electric Power Engineering 2011",
  year="2011",
  pages="1--4",
  publisher="VŠB-Technical University of Ostrava",
  address="Ostrava",
  isbn="978-80-248-2393-5"
}
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