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- Title
Convection of Physical Quantities of Random Density.
- Authors
Barletta, Elisabetta; Dragomir, Sorin; Esposito, Francesco
- Abstract
We study the random flow, through a thin cylindrical tube, of a physical quantity of random density, in the presence of random sinks and sources. We model convection in terms of the expectations of the flux and density and solve the initial value problem for the resulting convection equation. We propose a difference scheme for the convection equation, that is both stable and satisfies the Courant–Friedrichs–Lewy test, and estimate the difference between the exact and approximate solutions.
- Subjects
TRANSPORT equation; STOCHASTIC differential equations; FINITE differences; APPROXIMATION theory; BOCHNER integrals
- Publication
AppliedMath, 2024, Vol 4, Issue 1, p225
- ISSN
2673-9909
- Publication type
Article
- DOI
10.3390/appliedmath4010012