- Tytuł:
- Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method
- Autorzy:
-
Majchrzak, E.
Mochnacki, B. - Powiązania:
- https://bibliotekanauki.pl/articles/122742.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
heat conduction
dual-phase lag equation
finite difference method
stability conditions of FDM explicit scheme
przewodzenie ciepła
metoda różnic skończonych - Opis:
- The dual-phase lag equation (DPLE) is considered. This equation belongs to the group of hyperbolic PDE, contains a second order time derivative and higher order mixed derivative in both time and space. From the engineer’s point of view, the DPLE results from the generalized form of the Fourier law. It is applied as a mathematical model of thermal processes proceeding in the micro-scale and also in the case of bio-heat transfer problem analysis. At the stage of numerical computations the different approximate methods of the PDE solving can be used. In this paper, the authors present the considerations concerning the stability conditions of the explicit scheme of finite difference method (FDM). The appropriate conditions have been found using the von Neumann analysis. In the final part of the paper, the results of testing computations are shown.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 89-96
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł