- Tytuł:
- Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method
- Autorzy:
-
Mochnacki, B.
Tuzikiewicz, W. - Powiązania:
- https://bibliotekanauki.pl/articles/122475.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
bioheat transfer
Cattaneo-Vernotte equation
finite difference method
stability conditions of FDM explicit scheme
przepływ biociepła
równanie Cattaneo-Vernotte
metoda różnic skończonych - Opis:
- The Cattaneo-Vernotte (CVE) equation is considered. This equation belongs to the group of hyperbolic PDE. Supplementing this equation by two additional terms corresponding to perfusion and metabolic heat sources one can apply the CVE as a mathematical model describing the heat transfer processes proceeding in domain of the soft tissue. Such an approach is recently often preferred substituting the classical Pennes model. At the stage of numerical computations the different numerical methods of the PDE solving can be used. In this paper the problems of stability conditions for the explicit scheme of the finite difference method (FDM) are discussed. The appropriate condition limiting the admissible time step have been found using the von Neumann analysis.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 137-144
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł