Computer Algebra Solving of Second Order ODEs Using Symmetry Methods
General Relativity and Quantum Cosmology
2009-10-30 v2
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.
Keywords
Cite
@article{arxiv.gr-qc/9703082,
title = {Computer Algebra Solving of Second Order ODEs Using Symmetry Methods},
author = {E. S. Cheb-Terrab and L. G. S. Duarte and L. A. C. P. da Mota},
journal= {arXiv preprint arXiv:gr-qc/9703082},
year = {2009}
}
Comments
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