ABOUT THE NUMERICAL INTEGRATION OF THE NONSTATIONARY NON-HOMOGENEOUS BIHARMONIC EQUATION IN PROBLEMS OF CONDUCTIVE FREE CONVECTION
Synthesis of the finite-difference scheme of a numerical integration of a nonstationary non-homogeneous biharmonic equation is presented at zero boundary conditions of the first and second sort. In the Hilbert space the analysis is carried out it. The approximation error is calculated, stability and convergence of the scheme are proved, the way of identification of an optimum step on time is offered. Approbation of computing procedure on a problem about conductive and laminar free convection in a square cavity confirmed effectiveness of the offered approach