Open AccessA locally one-dimensional scheme for a general parabolic equation describing microphysical processes in convective clouds
Author(s) -
B. A. Ashabokov,
AUTHOR_ID,
Aslanbek Khibiev,
М. Х. Шхануков–Лафишев,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2021
Publication title -
doklady adygskoj (čerkesskoj) meždunarodnoj akademii nauk
Language(s) - English
Resource type - Journals
eISSN - 2949-0928
pISSN - 1726-9946
DOI - 10.47928/1726-9946-2021-21-4-45-55
Subject(s) - parallelepiped , convection , a priori and a posteriori , scheme (mathematics) , convergence (economics) , nonlinear system , mathematical analysis , mathematics , convection–diffusion equation , physics , mechanics , geometry , epistemology , quantum mechanics , economics , economic growth , philosophy
A locally one-dimensional difference scheme for a general parabolic equation in a p-dimensional parallelepiped is considered. To describe microphysical processes in convective clouds, non-local (nonlinear) integral sources of a special type are included in the equation under consideration. An a priori estimate for the solution of a locally one-dimensional scheme is obtained and its convergence is proved.