NUMERICAL AND ANALYTICAL SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS IN NON-CYLINDRICAL AREA

Abstract

The article presents comparative analysis of the non-steady heat transfer problem solutions in the area of the border moving according to the law  t under the conditions of temperature heating. The solutions were obtained using the method of difference schemes and analytically.

Keywords

• thermodynamics, heat stroke, equation of parabolic type, integral fourier-laplace-hankelâ transformation, boundary value problem, method of green's functions, finite difference method.