| 用范式理论研究常微分方程焦点量问题* |
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| 引用本文： | 张琪昌,梁以德.用范式理论研究常微分方程焦点量问题*[J].应用数学和力学,1995,16(9):829-838. |
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| 作者姓名： | 张琪昌 梁以德 |
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| 作者单位： | 1.天津大学, 天津300072; |
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| 摘 要： | 利用范式与焦点量之间关系的一个定理并拓展了矩阵表示法,借助于计算机代数语言Mathe-matica的帮助,本文给出了一种计算常微分方程焦点量问题的新方法,利用这种方法可以计算常微分方程的任意阶焦点量,并通过一个算例验证了本文所提出的方法的正确性。这种方法的优点是简捷、方便、只进行简单的代数运算。
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| 关 键 词： | 范式 常微分方程 焦点量 Mathematica |
| 收稿时间： | 1994-09-16 |
Studying the Focal Value of Ordinary Differential Equations by Normal Form Theory |
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| zhangQichang.Studying the Focal Value of Ordinary Differential Equations by Normal Form Theory[J].Applied Mathematics and Mechanics,1995,16(9):829-838. |
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| Authors: | zhangQichang |
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| Institution: | 1.Tianjin University, Tianjin 300072;2.University of Hong Kong |
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| Abstract: | we present a new method to calculate the focal value of ordinary differential eduation by applying the theorem whichdefines the relationship between the normal form and focal value with the help of a symbolic computation language MATHE-MATICA, and extending the matrix representation method. This method can be used to calculate the focal value of any high order terms.This method has been verified by an example. The advantage of this method is simple and more readily applicable, and the result is directly obtained by substitution. |
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| Keywords: | normal form ordinary differential equation focal value mathematica |
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