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

作　　者：孙玉晓[1] 刘小华[1] 杜竞[1] 

机构地区：[1]西南石油大学,四川成都610500

出　　处：《廊坊师范学院学报（自然科学版）》2010年第6期18-19,22,共3页Journal of Langfang Normal University(Natural Science Edition)

摘　　要：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.

关 键 词：差分方程 二阶段 能量估计法 

分 类 号：O175[理学—数学]