A Class of Alternating Group Finite Difference Method For solving Convection-Diffusion Equation

摘要

In this paper, with an exponential-type transformation, a class of alternating group finite difference method(AGE-I) based on the saul'yev asymmetric schemes and the classical explicit-implicit schemes is derived for solving convection-diffusion equation. The method is suitable for parallel computation, unconditionally stable, and is of high accuracy especially when ε is small. Furthermore, a class of alternating group method(AGC-N) is derived by placing the Crank-Nicolson scheme at the fit situation. In order to verify the present method, numerical experiments are given at the end of the paper.