| 微分方程初值问题泰勒级数法的实现 |
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| 引用本文： | 张艺,解烈军.微分方程初值问题泰勒级数法的实现[J].大学数学,2007,23(3):177-181. |
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| 作者姓名： | 张艺 解烈军 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 摘 要： | 提出了用微分变换来求解常微分方程初值问题的一个方法,该方法能通过迭代获得问题解析解的高阶Taylor级数的展开式,从而实现了高阶泰勒级数方法.
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| 关 键 词： | 初值问题 微分变换 Taylor级数展开 |
| 文章编号： | 1672-1454（2007）03-0177-05 |
| 修稿时间： | 2005-10-17 |
Implementation of Taylor Series Method for Initial-Value Problems of Ordinary Differential Equations |
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| ZHANG Yi,XIE Lie-jun.Implementation of Taylor Series Method for Initial-Value Problems of Ordinary Differential Equations[J].College Mathematics,2007,23(3):177-181. |
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| Authors: | ZHANG Yi XIE Lie-jun |
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| Institution: | Faculty of Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | An iterative method for initial-value problems of ordinary differential equations using differential transformation is proposed.By using this method,the high-order Taylor series expansion of the analytic solution of the problem can be got,so that high order Taylor series method is implemented. |
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| Keywords: | intial-value problem differential transformation Taylor series expansion |
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