Journal article

VEIGEND Petr, ŠÁTEK Václav and NEČASOVÁ Gabriela. Model of the Telegraph line and its Numerical Solution. Open Computer Science. Berlin: Walter de Gruyter, 2018, 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
Publication language:english
Original title:Model of the Telegraph line and its Numerical Solution
Title (cs):Model telegrafní rovnice a jeho numerické řešení
Pages:10-17
Place:DE
Year:2018
URL:https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT
Journal:Open Computer Science, Vol. 8, No. 1, Berlin, DE
ISSN:2299-1093
DOI:10.1515/comp-2018-0002
Keywords
Telegraph line, ordinary differential equations, Taylor series method, MATLAB, SPICE
Annotation
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
BibTeX:
@ARTICLE{
   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 = {http://www.fit.vutbr.cz/research/view_pub.php?id=11666}
}

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