Publication Details
Model of the Telegraph line and its Numerical Solution
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Telegraph line, ordinary differential equations, Taylor series method, MATLAB, SPICE
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
@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"
}