Discrete differential operators for periodic and two-periodic time functions
Authors:
- Tadeusz Sobczyk,
- Michał Radzik,
- Natalia Radwan-Pragłowska
Abstract
To identify the properties of novel discrete differential operators of the first- and the second-order for periodic and two-periodic time functions. Design/methodology/approach: The development of relations between the values of first and second derivatives of periodic and two-periodic functions, as well as the values of the functions themselves for a set of time instants. Numerical tests of discrete operators for selected periodic and two-periodic functions. Findings: Novel discrete differential operators for periodic and two-periodic time functions determining their first and the second derivatives at very high accuracy basing on relatively low number of points per highest harmonic. Research limitations/implications: Reduce the complexity of creation difference equations for ordinary non-linear differential equations used to find periodic or two-periodic solutions, when they exist. Practical implications: Application to steady-state analysis of non-linear dynamic systems for solutions predicted as periodic or two-periodic in time.
- Record ID
- CUT9eb494787f4e480bb91ab3b9e4c2492a
- Publication categories
- ;
- Author
- Journal series
- Compel-The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, ISSN 0332-1649
- Issue year
- 2019
- Vol
- 38
- No
- 1
- Pages
- 325-347
- Other elements of collation
- tab.; wykr.; Bibliografia (na s.) - 345-346; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 38, Iss. 1
- Keywords in English
- numerical analysis, finite difference time-domain analysis, time-domain modelling, numerical linear algebra
- DOI
- DOI:10.1108/COMPEL-03-2018-0123 Opening in a new tab
- URL
- https://www.emeraldinsight.com/doi/abs/10.1108/COMPEL-03-2018-0123 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 40
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT9eb494787f4e480bb91ab3b9e4c2492a/
- URN
urn:pkr-prod:CUT9eb494787f4e480bb91ab3b9e4c2492a
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.