摘要
基于作者给出的吴-微分特征列集算法理论〔1,6〕,给出了计算微分方程(组)对称的关键一步产生和求解确定方程组的特征列集算法.利用计算机代数系统Mathematica1.2forDos〔9〕具体实现了本文提出的算法.
Based on the Wu Ritt Characteristic set theory for computing symmetry of partial differential equations (PDEs),given by author 1 ,a differential Characteristic Algorithm for producing and solving Determining Equations of PDEs Symmetries is given,the algorithm is implemented successfully by Computer Algebra System Mathematica 1.2 for DOS.As an application of our algorithm,new classical symmetries of plane stress equations are calculated.
出处
《内蒙古大学学报(自然科学版)》
CAS
CSCD
1998年第3期305-310,共6页
Journal of Inner Mongolia University:Natural Science Edition
基金
内蒙古自然科学基金