HOMOGENEOUS DIFFERENT SCHEMES OF THE PROBLEM FOR OPTIMUM SELECTION OF THE LOCATION OF HEAT SOURCES IN A RECTANGULAR BODY

Authors

  • Khaitkulov B.Kh.

Abstract

In this paper, we developed a method and algorithm for solving the problem of the optimal
choice of the density of heat sources on a rectangle in such a way that the temperature inside the considered
region is within the given limits. In this case, heat sources must provide a given temperature regime of the
minimum total power and temperature in a given corridor. Conservative finite-dimensional approximations
of the original problem are constructed in the form of a linear programming problem. A method for
constructing conservative schemes for solving the heat equation with variable coefficients, a brief
description of the developed software application for constructing computational grids and solving equations
is given. A new method is proposed and justified for the numerical solution of non-stationary problems of
the optimal choice of heat sources in a rectangle. A software application for conducting numerical
experiments to solve the problem has been created. A description of the based algorithm and the results of
numerical experiments is given

Published

2020-04-30

Issue

Section

Articles