| 常微分方程初值问题一种四阶单步格式研究 |
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| 引用本文： | 李国香,周文洁. 常微分方程初值问题一种四阶单步格式研究[J]. 怀化学院学报, 2006, 25(2): 25-27 |
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| 作者姓名： | 李国香 周文洁 |
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| 作者单位： | 株洲职业技术学院,人文艺术系,湖南,株洲,412000 |
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| 摘 要： | 利用一种分部积分技巧,导出了常微分方程初值问题的一种四阶单步格式,推证了该格式具有好的稳定性和收敛性,数值例子验证了所给的理论分析·
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| 关 键 词： | 初值问题 四阶单步格式 稳定性 收敛性 |
| 文章编号： | 1671-9743(2006)02-0025-03 |
| 收稿时间： | 2005-01-03 |
| 修稿时间： | 2005-01-03 |
Search of a Forth Order Single Scheme for the Initial Value Problem of Ordinary Differential Equation |
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| LI Guo-xiang,ZHOU Wen-jie. Search of a Forth Order Single Scheme for the Initial Value Problem of Ordinary Differential Equation[J]. Journal of Huaihua University, 2006, 25(2): 25-27 |
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| Authors: | LI Guo-xiang ZHOU Wen-jie |
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| Affiliation: | Department of Humanities and Art, Zhuzhou Vocational College, Zhuzhou, Hunan 412001 |
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| Abstract: | By use of a integral technique by part,this paper presents a forth order single scheme for the initial value problem of ordinary differential equation and proves that this has good stability and convergence.Finally an example is given to test above theoretical analysis. |
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| Keywords: | initial value problem forth order single scheme stability convergence |
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