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Publication Details

Model of the Telegraph line and its Numerical Solution

VEIGEND Petr, ŠÁTEK Václav and NEČASOVÁ Gabriela. Model of the Telegraph line and its Numerical Solution. Open Computer Science, vol. 8, no. 1, pp. 10-17. ISSN 2299-1093. Available from: https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT
Czech title
Model telegrafní rovnice a její numerické řešení
Type
journal article
Language
english
Authors
Veigend Petr, Ing. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing. (DITS FIT BUT)
URL
Keywords
Telegraph line, ordinary differential equations, Taylor series method, MATLAB, SPICE
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
Published
2018
Pages
10-17
Journal
Open Computer Science, vol. 8, no. 1, ISSN 2299-1093
Publisher
Walter de Gruyter
DOI
BibTeX
@ARTICLE{FITPUB11666,
   author = "Petr Veigend and V\'{a}clav \v{S}\'{a}tek and Gabriela Ne\v{c}asov\'{a}",
   title = "Model of the Telegraph line and its Numerical Solution",
   pages = "10--17",
   journal = "Open Computer Science",
   volume = 8,
   number = 1,
   year = 2018,
   ISSN = "2299-1093",
   doi = "10.1515/comp-2018-0002",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11666"
}
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