对流扩散方程的一种两阶段差分格式

Two-Stage Finite Difference Schemes for Nonlinear Convection-Diffusion Equation

对流扩散方程可以描述众多的物理化学现象,因为对其需求稳定的,实用的数值解法有着重大的意义。针对于一维对流扩散方程,构造对角元严格占优的二阶段差分格式,大大提高了运算的效率,最后用能量方法对其进行分析。

Convection-diffusion equation can describe many physical and chemical phenomena,because their needs stable numerical method has great practical significance.This paper focuses on one-dimensional diffusion equation,constructed strictly dominant diagonal difference scheme for the second stage,greatly improving the efficiency of operations,and finally analyze them using the energy method.