Computer algebra solving of first order ODEs using symmetry methods

Published: 01-05-1997| Version 1 | DOI: 10.17632/m77vt9jrwp.1
E.S. Cheb-Terrab,
L.G.S. Duarte,
L.A.C.P. da Mota


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)