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用算符法求解物理学非线性微分方程
引用本文:钟友坤.用算符法求解物理学非线性微分方程[J].河池学院学报,2007,27(5):8-10.
作者姓名:钟友坤
作者单位:河池学院,物理与电子工程系,广西,宜州,546300
摘    要:引入特征算符和相应的算符定理,用算符法把物理学中的非线性微分方程的叠代解表示成展开的幂级数,结合辅助函数,得出所要求的级数解,提供一种用算符法求解物理学非线性微分方程的技巧.

关 键 词:算符  微分方程  非线性
文章编号:1672-9021(2007)05-0008-03
修稿时间:2007年9月16日

Solving the Nonlinear Differential Equations in Physics by Means of Operator
ZHONG You-kun.Solving the Nonlinear Differential Equations in Physics by Means of Operator[J].Journal of Hechi University,2007,27(5):8-10.
Authors:ZHONG You-kun
Abstract:This paper introduces the characteristic operator and its corresponding theorem,obtains the required series solution by indicating the iteratives solutions of the non-linear differential equations in Physics as unfolded power series with operator and combination with auxiliary functions.It also provides a skill of solving the non-linear differential equations in Physics by means of operator.
Keywords:operator  differential equations  non-linear
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