Analysis of solutions of the 1D fractional Cattaneo heat transfer equation

• Autorzy: Siedlecka Urszula , Ciesielski Mariusz

Identyfikatory

DOI

10.17512/jamcm.2021.4.08

• Języki publikacji: EN

Abstrakty

EN

In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo derivative. The Fourier-Laplace transform technique is used to determine a solution of the considered problem. The numerical inversion of the Laplace transforms is applied. The effect of the order of the fractional derivative on the temperature distribution is investigated.

Słowa kluczowe

EN

heat transfer; Cattaneo equation; fractional Caputo derivative; Laplace transform; Fourier transform

PL

wymiana ciepła; równanie Cattaneo; pochodna ułamkowa Caputo; transformata Laplace'a; transformata Fouriera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 4
• Strony: 87--98
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Siedlecka Urszula

• Department of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Ciesielski Mariusz

• Department of Computer Science, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

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