Publication Details
Taylor Series Based Integration in Electric Circuits Simulations
Veigend Petr, Ing., Ph.D. (DITS)
Nečasová Gabriela, Ing., Ph.D. (DITS)
Initial value problems, MATLAB, ordinary differential
equations, Taylor series method, telegraph
line, Van der Pol oscillator.
This paper deals with the extremely precise, stable and fast solution of the ordinary differential equations. The solution of these is performed using a method based on the Taylor series - The Modern Taylor Series Method. The paper investigates two problems to demonstrate the positive properties of the method: linear problem - the behavior of signal transmission on the telegraph line and a non-linear problem - the Van der Pol oscillator. Both problems were analyzed and solved using newly implemented MATLAB Modern Taylor Series Method solvers. The results were then compared to the state-of-the-art MATLAB solvers.
@article{BUT161412,
author="Václav {Šátek} and Petr {Veigend} and Gabriela {Nečasová}",
title="Taylor Series Based Integration in Electric Circuits Simulations",
journal="Advances in Electrical and Electronic Engineering - intenetový časopis
(http://advances.utc.sk)",
year="2019",
volume="17",
number="3",
pages="352--359",
doi="10.15598/aeee.v17i3.3369",
issn="1804-3119",
url="http://advances.utc.sk/index.php/AEEE/article/view/3369"
}