摘要
以求解 Burger's方程的中心差分格式、显式逆风格式、Samarskii格式及修正 Dennis格式为基础 ,构造了若干新的 AGE方法 (即分别称为 C- AGE,U- AGE、S- AGE和 M- AGE方法 ) ,讨论了方法的线性化稳定性 .数值结果表明 ,对于求解 Burger's方程大 Reynold数问题 ,除了 C- AGE方法外 ,文中所构造的其他 AGE方法明显优于 Evans的分组显式方法 .
For solving Burger's equation,several new alternating group explicit(AGE)methods which are known as C AGE,U AGE,S AGE and M AGE methods are constructed on the basis of central difference scheme,explicit upwind scheme,Samarskii scheme and modified Dinnes scheme.A discussion is devoted to the linearized stability of these methods.In addition to C AGE methods,the AGE methods presented here is obviously better than Evans group explicit method for solving Burger's equation with a large Reynold's number.
出处
《华侨大学学报（自然科学版）》
CAS
2000年第3期221-227,共7页
Journal of Huaqiao University(Natural Science)
基金
福建省自然科学基金资助项目
