Mathematical modeling of thermal processes in radiant cylinders on the basis of the method of colliding functionals

Abstract

An analytical structure for solving nonlinear boundary value problem of the heat radiating body, exactly satisfy the boundary conditions Stefan-Boltzmann law. A sequence of mathematical models of high-temperature thermal process, which allowed the solution of nonlinear boundary value problem of the heat radiating body reduced to solving a sequence of variational problems for opposing functional. The sequence of solutions of variational problems for functionals counter allows you to organize iterative process with two-way convergence to the exact solution of the problem. The results of solving a specific problem with an illustration of two-way convergence to the exact solution.