非线性微分方程的微分变换方法(英文)  

Differential Transformation Method for Solving Nonlinear Differential Equations

作　　者：林彬[1] 李开泰[1] 

机构地区：[1]西安交通大学理学院,西安710049

出　　处：《工程数学学报》2009年第6期1137-1140,共4页Chinese Journal of Engineering Mathematics

基　　金：The Natural Science Foundation of China (10771167;10571142)

摘　　要：我们用微分变换方法来解非线性微分方程,首先给出微分变换方法的定义和算子,通过求解非线性微分方程的几个实例来验证这个方法的准确性和有效性。The differential transformation method for solving nonlinear differential equations is investigated in this paper.This method is a feasible tool for obtaining the exact solution of differetial equations.The validity of the method is demonstrated by some test problems.The results show the reliability and efficiency of the method.

关 键 词：非线性微分方程 微分变换方法 初始值问题 

分 类 号：O177.91[理学—数学]