GENERAL DIFFERENCE SCHEMES WITH INTRINSIC PARALLELISM FOR SEMILINEAR PARABOLIC SYSTEMS OFDIVERGENCE TYPE

In this paper the general finite difference schemes with intrinsic parallelism forthe boundary value problem of the semilinear parabolic system of divergence typewith bounded coefficients are constructed, and the existence and uniqueness of thedifference solution for the general schemes are proved. And the convergence ofthe solutions of the difference schemes to the generalized solution of the originalboundary value problem of the semilinear parabolic system is obtained. The multidimensional problems are also studied.