| 偏微分方程组数值解奇异性特征分析 |
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| 引用本文： | 王志 杜正聪 等. 偏微分方程组数值解奇异性特征分析[J]. 株洲师范高等专科学校学报, 2002, 7(5): 5-9 |
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| 作者姓名： | 王志 杜正聪 等 |
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| 作者单位： | 成都理工大学信息工程学院 四川成都610059(王志，杜正聪，陈溯江)，成都理工大学信息工程学院 四川成都610059(李蓉芳) |
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| 摘 要： | 通过对动力学系统微分方程组解的特征研究 ,发现应用数值方法求解微分方程组的解时 ,其解的稳定性由初始条件、系统函数和迭代步长共同决定 .当三者取值合理时 ,将会产生混沌现象 ,否则将得不到稳定的数值解
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| 关 键 词： | 偏微分方程组 系统函数 混沌解 |
| 文章编号： | 1009-1432(2002)05-0005-05 |
| 修稿时间： | 2000-04-11 |
A Feature Analysis of Numerical Solution for Partial Differential Equations |
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| WANG Zhi,Du Zheng cong,CHENG Shuo jiang,LI Rong fang. A Feature Analysis of Numerical Solution for Partial Differential Equations[J]. Journal of Zhuzhou Teachers College, 2002, 7(5): 5-9 |
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| Authors: | WANG Zhi Du Zheng cong CHENG Shuo jiang LI Rong fang |
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| Abstract: | The features of the numerical solution of partial differential equations in dynamical system have been analyzed in this paper.It finds that the stability of the numerical solution of partial differential equations depends on the values of initial conditions,systematic functions and iteration step length in solving the partial differential equations with the numerical methods.If the appropriate values of the above three factors are given, the chaos phenomenon can be made. Otherwise, the stable numerical solution of the partial differential equations would be out of reach. |
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| Keywords: | partial differential equations systematical function chaos solution |
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