具耗散项二阶双曲型方程分组显式方法  

Grouping Explicit Method for Solving Second -Order Hyperbolic Equation with Term of Dissipation

作　　者：曾文平[1] 

机构地区：[1]华侨大学经济管理学院,泉州362011

出　　处：《华侨大学学报（自然科学版）》2001年第3期237-241,共5页Journal of Huaqiao University(Natural Science)

摘　　要：首先把具耗散项的二阶双曲型方程分解为两个一阶方程 ,然后利用不对称公式提出解此类二阶双曲型方程的分组显式方法 .进而 ,证明交替分组显式方法是无条件稳定的 .数值试验表明 。A second order hyperbolic equation with term of dissipation is decomposed into two first order equations as the first step. For solving this kind of second order hyperbolic equations, the grouping explicit method is presented by applying asymmetric formula. And then, the alternatively grouping explicit method is proved to be unconditionally stable. As shown by numerical experiment, these new methods are satisfactory.

关 键 词：二阶双曲型方程 耗散项 交替分组显式方法 稳定性 不对称公式 截断误差 无条件稳定 

分 类 号：O175.27[理学—数学] O241.82[理学—基础数学]