中文摘要：

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.

英文摘要：

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 liesymrn, GDS and Desolv, and some experimental results are obtained which may show a hint for computing Lie Symmetry of differential equation（s） thereafter.