Publication detail

Electronic Representation of Wave Equation

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

Original Title

Electronic Representation of Wave Equation

English Title

Electronic Representation of Wave Equation

Type

conference paper

Language

en

Original 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.

English 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.

Keywords

Differential Equations; Taylor Series Method; Telegraph Equation; TKSL

Released

23.09.2015

Publisher

American Institute of Physics

Location

Rhodes

ISBN

978-0-7354-1392-4

Book

13rd International Conference of Numerical Analysis and Applied Mathematics

Edition

NEUVEDEN

Edition number

NEUVEDEN

Pages from

1

Pages to

4

Pages count

4

URL

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",
  annote="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.",
  address="American Institute of Physics",
  booktitle="13rd International Conference of Numerical Analysis and Applied Mathematics",
  chapter="120375",
  doi="10.1063/1.4952174",
  edition="NEUVEDEN",
  howpublished="online",
  institution="American Institute of Physics",
  number="1738",
  year="2015",
  month="september",
  pages="1--4",
  publisher="American Institute of Physics",
  type="conference paper"
}