Calculation of order ϵ dynamics for an NSFD discretization of a cube-root damped oscillator

DOI10.1080/10236198.2013.822866zbMath1292.65080OpenAlexW1970206819MaRDI QIDQ4979809

Ronald E. Mickens

Publication date: 19 June 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.822866

zbMATH Keywords

finite difference methodsnonlinear difference equationsasymptotic approximationsperturbation proceduresdiscrete harmonic oscillatorcube-root dampingnon-standard finite difference (NSFD) discretization

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• On the multiple scales perturbation method for difference equations
• Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method
• Analysis of the simple harmonic oscillator with fractional damping

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