Open AccessANALYTICAL SOLUTION OF THE EQUATION OF CONDUCTIVITY FOR VARIOUS BOUNDARY CONDITIONS
Author(s) -
V.А. Кrysko,
О. А. Салтыкова,
Alexey Tebyakin
Publication year - 2019
Publication title -
avtomatizaciâ i modelirovanie v proektirovanii i upravlenii
Language(s) - English
Resource type - Journals
eISSN - 2658-6436
pISSN - 2658-3488
DOI - 10.30987/2658-3488-2019-2019-4-33-37
Subject(s) - boundary value problem , work (physics) , reliability (semiconductor) , mathematics , mathematical analysis , finite difference method , heat equation , method of fundamental solutions , boundary (topology) , singular boundary method , finite element method , physics , thermodynamics , boundary element method , power (physics)
The aim of the work is to obtain an analytical solution of the heat equation for various boundary conditions in the case of a two-dimensional body. As a solution method, the method of variational iterations is used. In the work, both an analytical and a numerical solution of the problem are obtained for the boundary conditions of various types and taking into account the internal heat source. To obtain a numerical solution, the finite difference method was used. The results are compared and the conclusion is made on the reliability of the decisions.