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Properties of finite difference models of non-linear conservative oscillatorsFinite-difference (FD) approaches to the numerical solution of the differential equations describing the motion of a nonlinear conservative oscillator are investigated analytically. A generalized formulation of the Duffing and modified Duffing equations is derived and analyzed using several FD techniques, and it is concluded that, although it is always possible to contstruct FD models of conservative oscillators which are themselves conservative, caution is required to avoid numerical solutions which do not accurately reflect the properties of the original equation.
Document ID
19880060796
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Mickens, R. E.
(Atlanta University GA, United States)
Date Acquired
August 13, 2013
Publication Date
July 8, 1988
Publication Information
Publication: Journal of Sound and Vibration
Volume: 124
ISSN: 0022-460X
Subject Category
Numerical Analysis
Accession Number
88A48023
Distribution Limits
Public
Copyright
Other

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