Computer Algebra Solving of First Order ODEs Using Symmetry Methods
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
A set of Maple V R.3/4 computer algebra routines for the analytical solving of 1st. order ODEs, using Lie group symmetry methods, is presented. The set of commands includes a 1st. order ODE-solver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant 1st. order ODE under given symmetries; the determination of the canonical coordinates of the underlying invariant group; and the testing of the returned results.
Keywords
Cite
@article{arxiv.gr-qc/9607037,
title = {Computer Algebra Solving of First 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/9607037},
year = {2009}
}
Comments
14 pages, LaTeX, submitted to Computer Physics Communications. Soft-package (On-Line Help) and sample MapleV session available at: http://dft.if.uerj.br/symbcomp.htm or ftp://dft.if.uerj.br/pdetools