Computer Algebra Solving of First Order ODEs Using Symmetry Methods

Details Computer Algebra Solving of First Order ODEs Using Symmetry Methods Computer Algebra Solving of First Order ODEs Using Symmetry Methods

1996-07-16

arxiv.org/abs/gr-qc/9607037v1

Comput.Phys.Commun. 101 (1997) 254-268

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX, submitted to Computer Physics Communications. Soft-package (On-Line Help) and sample MapleV session available

Scientific paper

10.1016/S0010-4655(97)00018-0

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.

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