摘要
本文将交替方向法与差分流线扩散法(简称FDSD方法)相结合,对于二维线性对流占优扩散问题构造了一种交替方向差分流线扩散格式,给出了格式的实现过程并就稳定性及误差进行了分析．此格式不但实现了对数值求解二维对流扩散方程降维的目的,并且保持了FDSD方法良好的稳定性及高精度阶的基本性质．最后给出数值算例说明算法的有效性．
Alternating-direction method is combined with finite difference streamlinediffusion（FDSD） method to create the alternating-direction FDSD procedures for two-dimensional linear convection-dominated diffusion equation. Realization of the scheme and the analysis of stability and error are presented. This scheme not only realizes the purpose of lowering the dimension of solving the two-dimension linear convection diffusion equation, but also keeps the favorable stability and high precision of FDSD method. Finially, numerical examples are presented to clarify the method.
出处
《计算数学》
CSCD
北大核心
2007年第1期49-66,共18页
Mathematica Numerica Sinica
基金
国家自然科学基金(103016)资助项目
关键词
交替方向法
差分流线扩散方法
稳定性
误差估计
alternating-direction method, finite difference streamline diffusion method, stability, error estimate
