Abstract:

The convection-diffusion equation is a typical partial differential equation. Its parallel solutions have reference significance for the parallel solutions to other equations. In this paper we conduct a survey on the parallel solutions to convection-diffusion equation. These parallel solutions are classified as four kinds of parallelism: explicit direct, implicit iterative, alternating group explicit and Monte Carlo. Computational principles and several examples are described. Finally, the prospects of future development in this field are presented.

Key words: convection-diffusion equation;parallel computing;explicit method;implicit method;alternating group explicit;Monte Carlo