Computer algebra solving of second order ODEs using symmetry methods

Published: 01-01-1998| Version 1 | DOI: 10.17632/7gc9rk6kby.1
E.S. Cheb-Terrab,
L.G.S. Duarte,
L.A.C.P. da Mota


Abstract An update of the ODEtools Maple package, for the analytical solving of 1st and 2nd order ODEs using Lie group symmetry methods, is presented. The set of routines includes an ODE-solver and user-level commands realizing most of the relevant steps of the symmetry scheme. The package also includes commands for testing the returned results, and for classifying 1st and 2nd order ODEs. Title of program: ODEtools Catalogue Id: ADFP_v2_0 [ADHH] Nature of problem Analytical solving of first and second order ordinary differential equations using symmetry methods, and the inverse problem; that is, given a set of point and/or dynamical symmetries, to find the most general invariant first or second order ODE. 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)