摘要
本文给出了对流扩散方程的两种两层差分格式,讨论了它们的相容性、稳定性,极值性和单调性,给出了一种提高精度的方法。这两种格式为半显格式,对初边值问题可显式计算。它们都具有恒稳或亚恒稳定的性质。
A class of two-level semi-explicit different schemes is proposed for the diffusion convection equation in this paper. Here, we have discussed the problem of the consistent, stability, extremum and monotonicity, and proposed a method of increasing the accuracy. These schemes are semi-explicit schemes, and they can be calculated explicitly for initial-boundary value problems. They all have the characteristics of absolute stability or subabsolute stability.
出处
《贵州科学》
1991年第1期5-12,共8页
Guizhou Science
关键词
对流扩散方程
两层差分格式
半显式
diffusion convection equation: two-level semi-explicit schemes