Publication detail

Taylor Series Based Integration in Electric Circuits Simulations

ŠÁTEK, V. VEIGEND, P. NEČASOVÁ, G.

Original Title

Taylor Series Based Integration in Electric Circuits Simulations

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

Initial value problems, MATLAB, ordinary differential equations, Taylor series method, telegraph line, Van der Pol oscillator.

Authors

ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.

Released

30. 9. 2019

ISBN

1804-3119

Periodical

Advances in Electrical and Electronic Engineering - intenetový časopis (http://advances.utc.sk)

Year of study

17

Number

3

State

Czech Republic

Pages from

352

Pages to

359

Pages count

8

URL

http://advances.utc.sk/index.php/AEEE/article/view/3369

BibTex

@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"
}