Detail publikačního výsledku

Model of the Telegraph line and its Numerical Solution

VEIGEND, P.; ŠÁTEK, V.; NEČASOVÁ, G.

Originální název

Model of the Telegraph line and its Numerical Solution

Anglický název

Model of the Telegraph line and its Numerical Solution

Druh

Článek WoS

Originální abstrakt

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

Anglický abstrakt

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

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

VEIGEND, P.; ŠÁTEK, V.; NEČASOVÁ, G.

Rok RIV

2019

Vydáno

31.05.2018

ISSN

2299-1093

Periodikum

Open Computer Science

Svazek

8

Číslo

1

Stát

Polská republika

Strany od

10

Strany do

17

Strany počet

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"
}