Computer algebra solving of second order ODEs using symmetry methods
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.
- Publication:
-
Computer Physics Communications
- Pub Date:
- January 1998
- DOI:
- 10.1016/S0010-4655(97)00132-X
- arXiv:
- arXiv:gr-qc/9703082
- Bibcode:
- 1998CoPhC.108...90C
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 24 pages, LaTeX, Soft-package (On-Line help) and sample MapleV sessions available at: http://dft.if.uerj.br/odetools.htm or http://lie.uwaterloo.ca/odetools.htm