Parallel Difference Schemes For Heat Conduction Equations * The work is supported by the Chinese National Key Program for Developing Basic Science, G1999032801, the National Natural Science Foundation of China (19932010) and the Foundation of CAEP (2X0107)

In this paper a parallel difference scheme based on Dufort-Frankel scheme and the classic implicit scheme for linear heat conduction equations is studied. In this procedure, the values at subdomain interfaces are calculated by using the Dufort-Frankel scheme, and then these values serve as Dirichlet boundary data for the implicit scheme in the subdomains. The weak necessary condition of the unconditional stability of the parallel difference scheme is proved. Numerical experiments indicates that the parallel difference scheme has good parallelism, and has better accuracy than the fully implicit scheme.

Keywords:

• Heat Conduction Equations
• Parallel Difference Method
• Stability
• Parallelism