Open AccessMODIFIED FINITE-DIFFERENCE SCHEME FOR SOLVING ONE CLASS OF CONVECTION-REACTION-DIFFUSION PROBLEMS
Author(s) -
A V Pavelchuk,
A. G. Maslovskaya
Publication year - 2021
Publication title -
vestnik amurskogo gosudarstvennogo universiteta. seriâ "estestvennye i èkonomičeskie nauki"
Language(s) - English
Resource type - Journals
ISSN - 2073-0268
DOI - 10.22250/jasu.93.2
Subject(s) - scheme (mathematics) , convection–diffusion equation , class (philosophy) , diffusion , finite difference scheme , convection , mathematics , finite difference , finite difference method , chemical equation , reaction–diffusion system , computer science , mathematical analysis , physics , mechanics , thermodynamics , chemistry , artificial intelligence
The paper reviews approaches to the construction of finite-difference methods for solving time-dependent diffusion equations and transport equations. A modified computational scheme for solving a semilinear multidimensional equation of the «reaction – diffusion – convection» type is presented. The hybrid computational scheme is based on the alternating directions method and the Robert-Weiss scheme.