| 一阶常微分方程初值问题的解析方法 |
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| 引用本文： | 施云惠,张池平,崔明根.一阶常微分方程初值问题的解析方法[J].黑龙江大学自然科学学报,2000,17(2):9-12. |
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| 作者姓名： | 施云惠 张池平 崔明根 |
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| 作者单位： | 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目(19501010) |
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| 摘 要： | 在 W12空间，给出了一阶线性常微分方程纽初值问题解析解及相应的近似解，提出了适于计算机运算的求解方法。数值算例表明此方法是有效的。
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| 关 键 词： | 再生核 逼近 W12空间 数值分析 |
| 文章编号： | 1001-7011(2000)02-0009-04 |
| 修稿时间： | 1998-12-25 |
The analytic method for initial value problem of system of first order ordinary differential equations |
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| SHI Yun-hui,ZHANG Chi-ping,CUI Ming-gen.The analytic method for initial value problem of system of first order ordinary differential equations[J].Journal of Natural Science of Heilongjiang University,2000,17(2):9-12. |
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| Authors: | SHI Yun-hui ZHANG Chi-ping CUI Ming-gen |
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| Institution: | Sill Yun-hui
,ZHANG Chi-ping
,CUI Ming-gen
;(Dept. of Math, Harbin Institute of Technology, Harbin 150001, China) |
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| Abstract: | The analytic solution for initial value problem of system of first order ordinary differential equations is presented in space W12 firstly. Furthermore, the algorithm suitable for calculating is obtained in this paper. The practical numerical examples demonstrate that the algorithm is efficient. |
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| Keywords: | reproducing kernel approximation space W12 numerical analysis |
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