1D and 2D finite-difference operators for periodic functions on arbitrary mesh
Authors:
- Tadeusz Jan Sobczyk
Abstract
This paper presents novel discrete differential operators for periodic functions of one- and two-variables, which relate the values of the derivatives to the values of the function itself for a set of arbitrarily chosen points over the function’s area. It is very characteristic, that the values of the derivatives at each point depend on the function values at all points in that area. Such operators allow one to easily create finite-difference equations for boundary value problems. The operators are addressed especially to nonlinear differential equations.
- Record ID
- CUT4c3dee3cfb1f4a6f8ef85d8611e98db5
- Publication categories
- ;
- Author
- Journal series
- Archives of Electrical Engineering, ISSN 1427-4221, e-ISSN 2300-2506, [0004-0746, 1427-4221]
- Issue year
- 2022
- Vol
- 71
- No
- 1 (279)
- Pages
- 265-275
- Other elements of collation
- wykr.; Bibliografia (na s.) - 274-275; Bibliografia (liczba pozycji) - 20; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 71, No 1 (279)
- Keywords in English
- arbitrary meshes, finite-difference operators, partial finite difference operators, periodic functions, two-variable periodic functions
- ASJC Classification
- ;
- DOI
- DOI:10.24425/aee.2022.140209 Opening in a new tab
- URL
- https://journals.pan.pl/aee/140804 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 100
- Score source
- journalList
- Score
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT4c3dee3cfb1f4a6f8ef85d8611e98db5/
- URN
urn:pkr-prod:CUT4c3dee3cfb1f4a6f8ef85d8611e98db5
* 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.