Abstract: The present paper deals with the finite difference scheme with intrinsic parallelism for numerically solving the heat equation. In this procedure, the domain over which the problem is defined is divided into subdomains by introducing interface points. The interface values between subdomains are found by explicit formulas, once these values have been calculated, subdomain problems can be solved in paralledl. The stability conditions and maximum norm error estimates for these procedures have been derived, which demonstrate that our schemes have satisfactory stability and higher convergence order.

Key words: difference method, parallel computing, parabolic equation