Computer modeling of the non-stationary temperature distribution in bodies of spherical geometry

The processes of non-stationary heat exchange in bodies of spherical geometry are re-searched in this study. The mathematical model of thermal conductivity in a sphere and itsanalytical solution are presented and analyzed. The stability criterion for the analytical so-lution is determined under typical boundary and initial conditions. Numerical method forthe mathematical model with nonlinear and non-stationary boundary and initial conditionsis developed. The numerical method is based on functional programming using built-infunctions of the Maple software. The typical temperature distributions inside a sphere de-pending on time and radius were obtained. Developed approach significantly minimizestime of calculation for heat exchange problems in bodies of spherical geometry and showscapabilities of the system computer algebra Maple in terms of solving non-stationary non-linear problems of mathematical physics.