- Tytuł:
- Implicit scheme of the finite difference method for 1D dual-phase lag equation
- Autorzy:
-
Majchrzak, E.
Mochnacki, B. - Powiązania:
- https://bibliotekanauki.pl/articles/973620.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
micro-scale heat conduction
dual-phase lag equation
finite difference method
stability of FDM implicit scheme
równanie z dwoma czasami opóźnień
metoda różnic skończonych
DPLE
schemat FDM - Opis:
- The 1D dual-phase lag equation (DPLE) is solved using the implicit FDM scheme. The dual phase lag equation is the hyperbolic PDE and contains a second order time derivative and higher order mixed derivative in both time and space. The DPLE results from the generalization of the well known Fourier law in which the delay times are taken into account. So, in the equation discussed, two positive parameters appear. They correspond to the relaxation time τq and the thermalization time τ T. The DPLE finds, among others, the application as the mathematical description of the thermal processes proceeding in the micro-scale. In the paper, the numerical solution of DPLE based on the implicit scheme of the FDM is presented. The authors show that a such an approach in the case of DPLE leads to the unconditionally stable differential scheme.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 37-46
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł