RIGHT-HAND-SIDE-ITERATIVE METHOD FOR THE SYSTEM OF GROUP MESH MULTIDIMENSIONAL TIME-DEPENDENT DIFFUSION EQUATIONS

L. P. Fedotova, R. M. Shagaliev
VANT. Ser.: Mat. Mod. Fiz. Proc. 1995. Вып.1-2. С. 87-90.

      A new method iterative over the right-hand side is generated for the system of group mesh equations for multidimensional diffusion. The method relies on the introduction of special algebraic systems at the timesteps to relate the solution of the energy group with the solution in all remaining groups and subsequently use these systems for the evaluation of parameters for a process iterative over the right-hand side. The systems are generated from the source mesh diffusion equations. The multidimensional analog of the limit run coefficient is used. It is shown that the use of the suggested iterative method demonstrates a. very high efficiency.