期刊论文

Automatical Solutions of Lindstedt Poincare’s Methods

中文

城市学刊

2096-059X

2000

17

6

1-6

10.3969/j.issn.1672-1942.2000.06.001

1998年湖南省科技计划研究项目! （编号 :98JZY2 42 -3 ）；

本校为第一机构

应用Ｍathematica系统的强大的符号运功能以及系统提供的控制语句，对一类弱非线性系统Ｌindstedt Poincare方法的机器实现ue+w^20u=εf(u，·u)的有效渐近展开式解进行了研究，用Ｍathematica系统实现了一种古典的奇异摄动方法－Ｌindstedt Poincare方法的自动求解问题，并调试通过程序做成了程序包。

Some solutions of effectively asymptotic expansions are studied in this paper which would use powerful symbolic operation and control sentence provided by Mathematica system to a weakly nonlinear system ü+w 2 ou=εf(u,·u),and some of automatically solving problems of Lindstedt Poincare's method are considered,such as method of classially singular pertubations.On the other hand,we have compiled...