Model of the telegraph line and its numerical solution

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F18%3A10240462" target="_blank" >RIV/61989100:27740/18:10240462 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216305:26230/18:PU131164

Výsledek na webu

<a href="https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT" target="_blank" >https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/comp-2018-0002" target="_blank" >10.1515/comp-2018-0002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Model of the telegraph line and its numerical solution

Popis výsledku v původním jazyce

This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then 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. Linear solver was compared with the state of the art solvers in MATLAB and SPICE software.

Název v anglickém jazyce

Model of the telegraph line and its numerical solution

Popis výsledku anglicky

This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then 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. Linear solver was compared with the state of the art solvers in MATLAB and SPICE software.

Druh

J_ost - Ostatní články v recenzovaných periodicích

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

OPEN COMPUTER SCIENCE

ISSN

2299-1093

e-ISSN

—

Svazek periodika

8

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

8

Strana od-do

10-17

Kód UT WoS článku

000441606500001

EID výsledku v databázi Scopus

2-s2.0-85056384555