对流扩散方程的一种新的显式方法

A New Explicit Method with Exponential-Type for the Convection-Diffusion Equation

基于作者建立的一类新的指数型非对称半显式差分方法 ,提出了一种数值求解对流扩散方程的指数型交替组显方法。该方法具有固有并行性 ,而且无条件稳定 ,数值结果表明 ,该方法精度优于Evans和 Abdullah在 1 985年提出的交替组显格式。

Based on the semi explicit asymmetric schemes constructed by authors,a new alternating group explicit(AGE) method with exponential type for the numerical solution of the convection diffusion equation is derived in this paper.The method has the obvious property of parallelism,and is unconditionally stable.Numerical example is given which illustrated that the present method is in preference to Evans and Abdullah’AGE method for solving the convection diffusion equation in [1].