求解对流扩散方程的一类交替分组显式方法

A Class Alternating Group Explicit Method for Solving Convection-Diffusion Equation

利用第二类Saul’yev非对称格式给出了对流扩散方程的一类交替分组显格式。该方法具有并行本性 ,并且绝对稳定。数值结果表明 ,对对流扩散方程给出的AGE算法明显优于Evans和Abdullah[2 ] 所提出的交替分组显格式 ,因此本方法是一种有效算法。

Based on the Saul'yev asymmetric schemes, a new alternating group explicit(AGE)method for solving 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 equationin [2].