| 改进的郭涛算法解一类有限元离散常微分方程 |
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| 引用本文： | 向占宏,郑玉军,张又才.改进的郭涛算法解一类有限元离散常微分方程[J].企业技术开发,2007,26(1):33-35. |
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| 作者姓名： | 向占宏 郑玉军 张又才 |
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| 作者单位： | [1]湖南师范大学数学与计算机科学学院,湖南长沙410081 [2]湖南省衡阳财经工业职业技术学院,湖南衡阳421001 [3]湖南财经高等专科学校,信息管理系,湖南长沙410205 |
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| 摘 要： | 文章提出了改进的郭涛算法,并运用该算法解区域分裂、有限元离散之后的非线性常微分方程两点边值问题。数值结果表明该算法能很好地收敛到准确解,精度较高。
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| 关 键 词： | 非线性常微分方程 区域分裂法 有限元法 改进的郭涛算法 |
| 文章编号： | 1006-8937（2007）01-0033-03 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2006年10月20 |
Improved Guotao algorithm for a kind of ordinary differential equation discretized by finite element method |
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| XIANG Zhan-hong,ZHENG Yu-jun,ZHANG You-cai.Improved Guotao algorithm for a kind of ordinary differential equation discretized by finite element method[J].Technological Development of Enterprise,2007,26(1):33-35. |
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| Authors: | XIANG Zhan-hong ZHENG Yu-jun ZHANG You-cai |
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| Abstract: | In this paper we put forward improved Guotao algorithm. Then we efficiently solve the two point boundary value problem of nonlinear ordinary differential equation discretized by finite element method in small areas which is divided by domain decomposition method.. Numerical experiments show that the algorithm performs well on convergence to the exact solution and the accuracy is also satisfied. |
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| Keywords: | nonlinear ordinary differential equation domain decomposition method finite element method improved Guotao algorithm |
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