求解Burgers方程的一类指数积分方法  

The Exponential Integral Methods for Solve the Burgers Equations

作　　者：李雨[1] 魏玉芬[1] 朱焕[1] 

机构地区：[1]黑龙江八一农垦大学理学院,大庆163319

出　　处：《黑龙江八一农垦大学学报》2013年第1期66-69,共4页journal of heilongjiang bayi agricultural university

摘　　要：基于李群方法思想构造了求解拟线性Burgers方程的一种新的数值方法称为指数积分法,将Burgers方程在空间上进行离散转化为常微分方程后采用指数积分法来解,数值实验说明了该方法在稳定性方面的优势。This paper presented the exponential integral forms based on Lie-group methods. Discrete the quasilinear Burgers equations to transform it to ordinary differential equations and then solve the equations by the exponential integral forms. Numerical results showed that the methods proposed here had more preponderance at stability than other methods.

关 键 词：BURGERS方程 保结构算法 指数积分法 

分 类 号：O241.81[理学—计算数学]