Computer algebra solving of first order ODEs using symmetry methods

DOI10.1016/S0010-4655(97)00018-0zbMath0927.65091arXivgr-qc/9607037MaRDI QIDQ1292615

E. S. Cheb-Terrab, L. G. S. Duarte, L. A. C. P. da Mota

Publication date: 14 December 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9607037

zbMATH Keywords

symbolic computationfirst-order ordinary differential equationscomputer algebra packageLie group symmetry methods

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Numerical methods for initial value problems involving ordinary differential equations (65L05) Packaged methods for numerical algorithms (65Y15)

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Uses Software

• Maple
• SYMMGRP
• ODEtools
• PDEtools

Cites Work

• Review of symbolic software for Lie symmetry analysis
• A computational approach for the analytical solving of partial differential equations
• Symmetries of Einstein’s field equations with a perfect fluid source as examples of Lie–Bäcklund symmetries
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
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