摘要
本文进一步一般化了作者所提出的一种新的非线性分析方法,称为“同伦分析方法”。“同伦分析方法”的最大优点,在于其不依赖小参数,从而可求解更多的非线性问题,甚至包括那些不含小参数的问题。本文给出了几个应用实例,以说明“同伦分析方法”的有效性及巨大的潜力。
In this paper, the Homotopy Analysis Method, which is a nonlinear analytical technique, is given and generalized by the introduction of a new nonzero parameter. Being different from the perturbation method, this method does not depend on small parameters, such that it can be applied to solve more nonlinear problems, even those containing no small parameters in governing equations and boundry conditions at all. Examples are given in this paper to show the validity of this method.
出处
《上海力学》
CSCD
1997年第3期196-200,共5页
Chinese Quarterly Mechanics
关键词
非线性分析
同伦
拓扑
非线性振协
nonlinear analytical method, homotopy, topology, nonlinear vibration.
