Detail publikačního výsledku

Telegraph Equation and Corresponding Wave Forms

KUNOVSKÝ, J.; ŠÁTEK, V.; SZÖLLÖS, A.

Originální název

Telegraph Equation and Corresponding Wave Forms

Anglický název

Telegraph Equation and Corresponding Wave Forms

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

KUNOVSKÝ, J.; ŠÁTEK, V.; SZÖLLÖS, A.

Rok RIV

2012

Vydáno

11.05.2011

Nakladatel

VŠB-Technical University of Ostrava

Místo

Ostrava

ISBN

978-80-248-2393-5

Kniha

Proceeding of the 12th International Scientific Conference Electric Power Engineering 2011

Strany od

1

Strany do

4

Strany počet

4

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"
}