Publication detail

Model of the Telegraph line and its Numerical Solution

VEIGEND, P. ŠÁTEK, V. NEČASOVÁ, G.

Original Title

Model of the Telegraph line and its Numerical Solution

Type

journal article in Web of Science

Language

English

Original Abstract

The paper deals with a model of the telegraph line, that consists of system of ordinary differential equations, rather than the partial differential telegraph equation. Numerical solution is than based on an original mathematical method. This method uses the Taylor series for solving ordinary differential equations with initial condition -- initial value problems in a non-traditional way. Systems of ordinary differential equations are solved using variable order, variable step-size Modern Taylor Series Method. The Modern Taylor Series Method is based on a recurrent calculation of the Taylor series terms for each time interval.          The second part of paper presents the solution of linear problems which comes from the model of telegraph line. All experiments were performed using MATLAB software, the newly developed linear solver that uses Modern Taylor Series Method was used. Linear solver was compared with the state of the art solvers in MATLAB and SPICE software

Keywords

Telegraph line, ordinary differential equations, Taylor series method, MATLAB, SPICE

Authors

VEIGEND, P.; ŠÁTEK, V.; NEČASOVÁ, G.

Released

31. 5. 2018

ISBN

2299-1093

Periodical

Open Computer Science

Year of study

8

Number

1

State

Federal Republic of Germany

Pages from

10

Pages to

17

Pages count

8

URL

https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT

BibTex

@article{BUT155610,
  author="Petr {Veigend} and Václav {Šátek} and Gabriela {Nečasová}",
  title="Model of the Telegraph line and its Numerical Solution",
  journal="Open Computer Science",
  year="2018",
  volume="8",
  number="1",
  pages="10--17",
  doi="10.1515/comp-2018-0002",
  issn="2299-1093",
  url="https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT"
}