Approaches to solving nonlinear ODEs.

DOI10.1016/S0378-4754(96)00014-6zbMath1037.34502OpenAlexW2062356166WikidataQ126401505 ScholiaQ126401505MaRDI QIDQ1565821

N. Delaunay

Publication date: 27 May 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(96)00014-6

zbMATH Keywords

ordinary differential equationcomputer algebrainfinitesimal symmetries

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Uses Software

• SYMMGRP
• LIEPDE
• CRACK

Cites Work

• Linearization of second order ordinary differential equations via Cartan's equivalence method
• Computing closed form solutions of first order ODEs using the Prelle- Singer procedure
• Elementary First Integrals of Differential Equations
• The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
• Cartan's method of equivalence and second-order equation fields
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