摘要
在Maple数学软件中,符号微分方程式的解算功能有了很大的增强,ode-pde程序包允许处理带有常数、非常数不变式的Abel型微分方程以及大量与可积类等价的微分方程.新的运算法则结合了与标准坐标转换技术等效的方法,从而解决了在许多应用领域内出现的相关求解问题.
Several enhancements have been made in Maple's symbolic differential equation solver, with ode pde providing solutions to many equivalence classes of AbelODEs with constant and non-constant invariant. The new algorithms combine the methods of equivalence with standard coordinate transformation techniques to solve a variety of problems that occur in applications.
出处
《湖北工业大学学报》
2006年第1期102-103,108,共3页
Journal of Hubei University of Technology
关键词
Abel型微分方程
等价类
不变式
可积类
符号微分方程式的解算
坐标转换
differential equations of Abel type
equivalence classes
invariants
integrable classes
symbolic differential equation solver
coordinate transformation