DIFFERENCE SCHEMES FOR SOLVING THE HEAT-CONDUCTION EQUATION ON CURVILINEAR MESH AND THEIR PARALLEL IMPLEMENTATION

V.T. Zhukov, O.B. Feodoritova
VANT. Ser.: Mat. Mod. Fiz. Proc 1992. Вып.3. С. 66-71.

      We present a finite-difference algorithm for solving the two-dimensional heat-conduct ion equation on parallel processors with distributed memory. To implement a code using the present algorithm, the spatial domain is divided into subdomains and each processor is assigned a single subdomain. The temporal difference equation is based on the explicit-iteration scheme with Chebyshev parameters. This algorithm has led to a very efficient parallel Fortran code on a MIMD parallel computer.