求解非线性微分方程的微分变换方法  

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：《兰州大学学报（自然科学版）》2009年第6期132-135,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(10771167)

摘　　要：用微分变换方法来解非线性微分方程,通过求解生物学方面的非线性微分方程模型的几个实例来验证这个方法的准确性和有效性.Using differential transformation techniques to solve nonlinear differential equation was intro-duced. First, the basic definitions and the basic operator expression of this approach were given. Then, this method is demonstrated by handling the （1＋3）-dimensional Burgers equation. Some examples were given to validate the efficiency of this method.

关 键 词：非线性微分方程 微分变换方法 (1+3)维Burgers方程 

分 类 号：O177.91[理学—数学]