| 求解非线性微分方程的微分变换方法 |
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| 引用本文： | 林彬,李开泰.求解非线性微分方程的微分变换方法[J].兰州大学学报(自然科学版),2009,45(6). |
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| 作者姓名： | 林彬 李开泰 |
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| 作者单位： | 西安交通大学,理学院,西安,710049 |
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| 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.
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| 关 键 词： | 非线性微分方程 微分变换方法 (1+3)维Burgers方程 |
Differential transformation method for solving nonlinear differential equations |
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| LIN Bin,LI Kai-tai.Differential transformation method for solving nonlinear differential equations[J].Journal of Lanzhou University(Natural Science),2009,45(6). |
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| Authors: | LIN Bin LI Kai-tai |
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| Abstract: | Using differential transformation techniques to solve nonlinear differential equation was introduced. 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. |
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| Keywords: | nonlinear differential equation differential transformation technique (1+3)-dimensional Burgers equation |
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