Symmetries and first order ODE patterns

A scheme for determining symmetries for certain families of first order ODEs, without solving any differential equations, and based mainly in matching an ODE to patterns of invariant ODE families, is presented. The scheme was implemented in Maple, in the framework of the ODEtools package and its ODE...

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Published in:Computer physics communications 1998-10, Vol.113 (2-3), p.239-260
Main Authors: Cheb-Terrab, E.S., Roche, A.D.
Format: Article
Language:English
Subjects:
Exact sciences and technology
First order ordinary differential equations
Function theory, analysis
Mathematical methods in physics
Ordinary differential equations
Physics
Symbolic computation
Symmetry methods
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container_title Computer physics communications
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description A scheme for determining symmetries for certain families of first order ODEs, without solving any differential equations, and based mainly in matching an ODE to patterns of invariant ODE families, is presented. The scheme was implemented in Maple, in the framework of the ODEtools package and its ODE-solver. A statistics of the performance of this approach in solving the first order ODE examples of Kamke's book (E. Kamke, Differentialgleichungen: Lösungsmethoden und Lösungen (Chelsea, New York, 1959)) is shown.
doi_str_mv 10.1016/S0010-4655(98)00071-X
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source Elsevier:Jisc Collections:Elsevier Read and Publish Agreement 2022-2024:Freedom Collection (Reading list)
subjects Exact sciences and technology
First order ordinary differential equations
Function theory, analysis
Mathematical methods in physics
Ordinary differential equations
Physics
Symbolic computation
Symmetry methods
title Symmetries and first order ODE patterns
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