| 几种微分方程李对称决定组生成软件包的比较研究 |
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| 引用本文： | 张善卿.几种微分方程李对称决定组生成软件包的比较研究[J].应用数学学报,2007,30(6):1004-1010. |
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| 作者姓名： | 张善卿 |
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| 作者单位： | 杭州电子科技大学图形图像研究所,杭州,310018 |
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| 摘 要： | 根据微分方程李对称决定方程组生成算法,在计算机代数系统Maple上给出了具体实现GDS,并指出了现行Maple系统上关于李对称计算的软件包liesymm的缺陷,最后通过一些计算实例对三个Maple系统下的软件包GDS,liesymm以及Desolv进行了比较研究.
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| 关 键 词： | 李对称 微分方程 计算机代数系统 符号计算 |
| 收稿时间： | 2005-12-22 |
| 修稿时间： | 2005年12月22 |
Study of Some Packages for Generating Determining System of Lie Symmetry for Differential Equation |
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| ZHANG SHANQING.Study of Some Packages for Generating Determining System of Lie Symmetry for Differential Equation[J].Acta Mathematicae Applicatae Sinica,2007,30(6):1004-1010. |
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| Authors: | ZHANG SHANQING |
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| Abstract: | Based on the algorithm of Lie symmetry for differential equation(s), a package GDS has been designed on Maple. The bugs of the liesymm for Lie Symmetry computation on Maple has been found firstly, some differential equation(s) are tested for the three packages liesymm, GDS and Desolv, and some experimental results are obtained which may show a hint for computing Lie Symmetry of differential equation(s) thereafter. |
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| Keywords: | lie symmetry differential equations computer algebra system symbolic computation |
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