Implicit Methods for Solving the Non-Stationary Transport Equation in Multygroup Diffusion Approximation in Two Dimensional Geometry

Two implicit algorithms are developed and realized in X-Y geometry for solving special stiff systems. In these algorithms the Successive Over-Relaxation Process and the Alternating Direction Method are used for the treatment of the differential terms. Numerical research of these algorithms in X-Y geometry is performed. Results of testing show, that the numerical solution by implicit Alternating Direction Method converges to the exact solution very slowly in comparison with the Successive Over-Relaxation Process.