Szczegóły publikacji
Opis bibliograficzny
The Caputo vs. Caputo-Fabrizio operators in modeling of heat transfer process / K. OPRZĘDKIEWICZ, W. MITKOWSKI, E. Gawin, K. DZIEDZIC // Bulletin of the Polish Academy of Sciences. Technical Sciences ; ISSN 0239-7528. — 2018 — vol. 66 no. 4, s. 501–507. — Bibliogr. s. 506–507, Abstr.
Autorzy (4)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 115656 |
|---|---|
| Data dodania do BaDAP | 2018-09-03 |
| Tekst źródłowy | URL |
| DOI | 10.24425/124267 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Bulletin of the Polish Academy of Sciences, Technical Sciences |
Abstract
In the paper two non-integer order, state space models of heat transfer process are compared. The first uses a known Caputo operator and the second - a new operator proposed by Caputo and Fabrizio in 2015. Both discussed models are modifications of a known, integer order, state space, semigroup model of heat transfer process. Parameters of both models were identified by means of optimization of MSE cost function with the use of simplex method, available in MATLAB. Both proposed models have been compared in the aspect of accuracy and convergence. Analytical and numerical results show that the Caputo-Fabrizio model is faster convergent and easier to implement than the Caputo model. However, its accuracy in the sense of MSE cost function is worse.
