Detail publikace

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

Jazyk

en

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.

Dokumenty

BibTex


@inproceedings{BUT76429,
  author="Jiří {Kunovský} and Václav {Šátek} and Alexandr {Szöllös}",
  title="Telegraph Equation and Corresponding Wave Forms",
  annote="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.",
  address="VŠB-Technical University of Ostrava",
  booktitle="Proceeding of the 12th International Scientific Conference Electric Power Engineering 2011",
  chapter="76429",
  edition="NEUVEDEN",
  howpublished="print",
  institution="VŠB-Technical University of Ostrava",
  year="2011",
  month="may",
  pages="1--4",
  publisher="VŠB-Technical University of Ostrava",
  type="conference paper"
}