| 一个改进的求解常微分方程的四阶方法 |
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| 引用本文： | 罗蕴玲,李同胜.一个改进的求解常微分方程的四阶方法[J].河北农业大学学报,1998,21(4):96-99. |
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| 作者姓名： | 罗蕴玲 李同胜 |
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| 作者单位： | 河北农业大学基础课部 |
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| 摘 要： | 给出了一个求解常微分方程初值问题ｙ′＝ｆ（ｘ，ｙ），ｙ（ｘ０）＝ｙ０的改进的四阶方法，不用迭代，而是利用非迭代的修正的方法，使之校正１次就能达到了预期的精度，弥补了不进行迭代带来的损失误差。
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| 关 键 词： | 常微分方程 初值问题 四阶方法 解 |
Improvement of the Fourth Order Rule for Sloving Ordinary Differential Equations |
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| Luo Yunling, Wang Lei, Li Tongsheng.Improvement of the Fourth Order Rule for Sloving Ordinary Differential Equations[J].Journal of Agricultural University of Hebei,1998,21(4):96-99. |
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| Authors: | Luo Yunling Wang Lei Li Tongsheng |
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| Abstract: | In this paper, the fourth order single step rule was put out for solving the initial val-ue problem: y' = f(x, y ), y (x0) =Y0 on ordinary differential equations by using revisorymethod other than iterative method while the expected precision could be attained by using onlyone revision, so that the lost error caused by not using iterative method were remedied. |
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| Keywords: | Ordinary differential equation Initial value problem Fourth order rule Improved method |
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