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Lindstedt Poincare方法的机器实现
Automatical Solutions of Lindstedt Poincare’s Methods
【摘要】 应用Mathematica系统的强大的符号运算功能以及该系统提供的控制语句 ,对一类弱非线性系统櫣 +w20 u =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—LindstedtPoincare方法的自动求解问题 ,并调试通过程序做成了程序包
【Abstract】 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 these programs and integrated them into packages.
【关键词】 奇异摄动;
LindstedtPoincare方法;
有效渐近展开式解;
实现;
【Key words】 singular perturbations; Lindstedt Poincare’s methods; solutions of effectively asymptotic expansions; Automatical solutionsx;
【Key words】 singular perturbations; Lindstedt Poincare’s methods; solutions of effectively asymptotic expansions; Automatical solutionsx;
【基金】 1998年湖南省科技计划研究项目! (编号 :98JZY2 42 -3 )
- 【文献出处】 益阳师专学报 ,Journal of Yiyang Teachers College , 编辑部邮箱 ,2000年06期
- 【分类号】O175
- 【被引频次】6
- 【下载频次】38