THE MATHEMATICAL MODEL FOR CALCULATING THE TEMPERATURE FIELD IN A PLATE WITH UNEVEN SUPPLY AND HEAT REMOVAL AT THE BORDER

The article is devoted to numerical methods for solving stationary heat conductivity problems with programming algorithms implementing the method of finite differences. Article presents a mathematical model to calculate temperature field in a plate with uneven supply and heat removal at the border. The application of grid method using a three-layer implicit difference scheme for solving the Robin problem for Poisson's equation. Presents the finite-difference approximation of the boundary conditions of the third kind Numerical solution of the problem of stationary temperature field in a square plate on the basis of the iterative Gauss-Seidel method is obtained. The realization of the algorithm calculation in MathCAD system with a graphical representation of the results of calculation of the temperature field in the plate is described