PL
 |
EN
Ten serwis zostanie wyłączony 2025-02-11.
Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 6

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  heat transfer equation
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Modeling heat distribution with the use of a non-integer order, state space model
100%
Oprzędkiewicz K. , Gawin E. , Mitkowski W.
|
|
tom 26
|
nr 4
749-756
EN
A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature distribution in a one dimensional plant. Results of experiments show that the proposed model is more accurate than the analogical integer order model in the sense of the MSE cost function.
2
Content available Fractional discrete-continuous model of heat transfer process
88%
Oprzędkiewicz K. , Dziedzic K.
|
2021
|
tom Vol. 31, No. 2
287--306
EN
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.
3
Content available Modeling heat distribution with the use of a non-integer order, state space model
75%
Oprzędkiewicz K. , Gawin E. , Mitkowski W.
|
|
tom Vol. 26, no. 4
749--756
EN
A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature distribution in a one dimensional plant. Results of experiments show that the proposed model is more accurate than the analogical integer order model in the sense of the MSE cost function.
4
Content available Non integer order, state space model of heat transfer process using Caputo-Fabrizio operator
63%
Oprzędkiewicz K.
|
|
nr 3
5
Content available Non integer order, state space model of heat transfer process using Atangana-Baleanu operator
63%
Oprzędkiewicz K.
|
6
Content available Fractional order, discrete model of heat transfer process using time and spatial Grünwald-Letnikov operator
51%
Oprzędkiewicz K.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2021
|
tom Vol. 69, nr 1
art. no. e135843
EN
In the paper a new, state space, fully discrete, fractional model of a heat transfer process in one dimensional body is addressed. The proposed model derives directly from fractional heat transfer equation. It employes the discrete Grünwald-Letnikov operator to express the fractional order differences along both coordinates: time and space. The practical stability and numerical complexity of the model are analysed. Theoretical results are verified using experimental data.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.