Publication detail

Parallel Solution of Telegraph Line

NEČASOVÁ, G. ŠÁTEK, V.

Original Title

Parallel Solution of Telegraph Line

Type

conference paper

Language

English

Original 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.

Keywords

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

Authors

NEČASOVÁ, G.; ŠÁTEK, V.

Released

24. 7. 2019

Publisher

American Institute of Physics

Location

Rhodes

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2019

Number

7

State

United States of America

Pages from

1

Pages to

4

Pages count

4

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"
}