- Tytuł:
- Fractional discrete-continuous model of heat transfer process
- Autorzy:
-
Oprzędkiewicz, Krzysztof
Dziedzic, Klaudia - Powiązania:
- https://bibliotekanauki.pl/articles/1409413.pdf
- Data publikacji:
- 2021
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
non integer order systems
heat transfer equation
finite difference
Caputo operator
positive systems - Opis:
- The paper proposes a new, state space, finite dimensional, fractional order model of a heat transfer in one dimensional body. The time derivative is described by Caputo operator. The second order central difference describes the derivative along the length. The analytical formulae of the model responses are proved. The stability, convergence, and positivity of the model are also discussed. Theoretical results are verified by experiments.
- Źródło:
-
Archives of Control Sciences; 2021, 31, 2; 287-306
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł