Computer algebra solving of second order ODEs using symmetry methods

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 comm...

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Bibliographic Details
Published in:Computer physics communications 1998, Vol.108 (1), p.90-114
Main Authors: Cheb-Terrab, E.S., Duarte, L.G.S., da Mota, L.A.C.P.
Format: Article
Language:English
Subjects:
1st and 2nd order ordinary differential equations
Symbolic computation
Symmetry methods
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Summary: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.
ISSN:0010-4655
1879-2944
DOI:10.1016/S0010-4655(97)00132-X