| Picard逐次逼近法的应用 |
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| 引用本文： | 杨颖.Picard逐次逼近法的应用[J].松辽学刊,2008,29(3):155-157. |
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| 作者姓名： | 杨颖 |
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| 作者单位： | 吉林师范大学数学学院,吉林四平136000 |
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| 摘 要： | 本文证明了Picard逐次逼近法是求常微分方程近似解的一种有效方法，可以用来求一阶豆式微分方程不可积类型的近似解和可积类型的精确解，并对于求近似解的问题用Matlab程序作出了各次近似解的图形．
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| 关 键 词： | Picard逐次逼近法 近似序列 近似解 精确解 |
The Application of Picard Gradually Approach Method |
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| YANG Ying.The Application of Picard Gradually Approach Method[J].Songliao Journal (Natural Science Edition),2008,29(3):155-157. |
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| Authors: | YANG Ying |
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| Institution: | YANG Ying ( College of Mathematics, Jilin Normal University, Siping 136000, China) |
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| Abstract: | This paper proof the Picard gradually approach method is a valid way to find the approximate solution of ordinary differential equation. It can be used to find the approximate solution and exactness solution of first order apparent formula differential equation. For the problem of approximate solution, we draw the figure of the approximate solution by Matlab program. |
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| Keywords: | picard gradually approach method approximate sequence approximate solution exactness solution |
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