拟线性系统振动问题的多变量展开法  

The Multi-Variable Expansion Method in Vibration Problem of Quasi-linear System

作　　者：唐续俞[1] 

机构地区：[1]广州航海高等专科学校基础部,广州510725

出　　处：《广州航海高等专科学校学报》2003年第2期18-20,共3页Journal of Guangzhou Maritime College

摘　　要：阐述了摄动方法中的多变量展开法 ,并利用此法讨论了拟线性系统振动问题的近似解 ,计算结果表明 :它具有数值计算简单、形式合理。This paper describes a kind of multi-variable expansion of perturbation method. By applying the method, the paper makes a discussion on the approximate solutio n to the problem of quasi-linear vibration. The calculating result shows its ad vantage of the simpleness in numerical calculating, the exact form and the broad ness in application.

关 键 词：拟线性系统 近似解 摄动法 多变量展开法 常微分方程 

分 类 号：O241.81[理学—计算数学]