Publication Details

Parallel Solution of Telegraph Line

NEČASOVÁ, G.; ŠÁTEK, V. Parallel Solution of Telegraph Line. In 16th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2019. p. 1-4. ISSN: 0094-243X.

Czech title

Paralelní řešení telegrafní rovnice

Type

conference paper

Language

English

Authors

Nečasová Gabriela, Ing., Ph.D. (DITS)
Šátek Václav, Ing., Ph.D. (DITS)

Keywords

telegraph line, parallel solution, partial differential equations, ordinary differential equations, Modern Taylor Series Method

Abstract

This article deals with the parallel numerical solution of the telegraph line. Telegraph partial differential equation is replaced by the system of ordinary differential equations. The problem is represented using sparse matrix. The general form of parallelization for the linear systems is introduced. The numerical solution is obtained using variable step-size, variable order Modern Taylor Series Method, which is based on a recurrent calculation of the Taylor series terms for each time interval.

Published

2019

Pages

1–4

Journal

AIP conference proceedings, vol. 2019, no. 7, ISSN 0094-243X

Proceedings

16th International Conference of Numerical Analysis and Applied Mathematics

Publisher

American Institute of Physics

Place

Rhodes

DOI

10.1063/1.5114333

UT WoS

000521108600324

EID Scopus

2-s2.0-85069960818

BibTeX

@inproceedings{BUT158065,
  author="Gabriela {Nečasová} and Václav {Šátek}",
  title="Parallel Solution of Telegraph Line",
  booktitle="16th International Conference of Numerical Analysis and Applied Mathematics",
  year="2019",
  journal="AIP conference proceedings",
  volume="2019",
  number="7",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.5114333",
  issn="0094-243X"
}