Burgers方程的交替分组显式方法  

Alternating group explicit (AGE) method for Burgers equation

作　　者：陈景良[1] 陆金甫[1] 肖世江 

机构地区：[1]清华大学应用数学系

出　　处：《清华大学学报（自然科学版）》1994年第3期108-116,共9页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金

摘　　要：本文以求解对流扩散方程的Ｓａｍａｒｓｋｉｉ格式为基础，构造了新的交替分组显式（ＡＧＥ）格式，采用线性化稳定性分析方法得到了格式的无条件（弱）稳定性。模型问题的数值结果表明，本方法比Ｅｖａｎｓ的ＡＧＥ方法好。n alternating group explicit (AGE) method for solving Burgers equations isdeveloped. The method is based on the implicit Samarskii,s scheme rather than the implicit centered difference scheme for solving the convection --diffusion problems. The unconditional stability is obtained by using the method of linear stability analysis. Numerical results of the model problem show that the method presented in this paper is betterthan Evan,s method.

关 键 词：交替分组显式 伯格斯方程 S格式 

分 类 号：O241.82[理学—计算数学]