Computer algebra solving of first order ODEs using symmetry methods

Abstract
A Maple V R.3/4 computer algebra package, ODEtools, for the analytical solving of first order ODEs using Lie group symmetry methods is presented. The set of commands includes a first order ODE solver and mutines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant first order ODE under given symmetries; the determination of the canonical coordinates of the underlying invariant group; and...

Title of program: ODEtools
Catalogue Id: ADFP_v1_0

Nature of problem
Analytical solving of first order ordinary differential equations.

Versions of this program held in the CPC repository in Mendeley Data
ADFP_v1_0; ODEtools; 10.1016/S0010-4655(97)00018-0
ADFP_v2_0; ODEtools; 10.1016/S0010-4655(97)00132-X

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要：本篇论文介绍了 Maple V R.3/4 计算机代数软件包中的 ODEtools，该工具通过李群对称方法对一阶常微分方程进行解析求解。命令集包含一阶常微分方程求解器以及多种功能，包括但不限于：显式确定无穷小对称生成元的系数；构造在给定对称性下最一般的守恒一阶常微分方程；确定潜在守恒群的规范坐标等。

程序名称：ODEtools
目录编号：ADFP_v1_0

问题性质：一阶常微分方程的解析求解。

Mendeley 数据库中 CPC 仓库存储的此程序的版本：ADFP_v1_0; ODEtools; 10.1016/S0010-4655(97)00018-0

ADFP_v2_0; ODEtools; 10.1016/S0010-4655(97)00132-X

此程序已从贝尔法斯特女王大学（1969-2019年）所持有的 CPC 程序库中导入。