Construction of finite difference schemes for coupled nonlinear oscillators derived form a discrete energy function

DOI10.1080/10236199608808053zbMath0855.65069OpenAlexW2064101641MaRDI QIDQ4890095

Ronald E. Mickens

Publication date: 11 February 1997

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

Full work available at URL: https://doi.org/10.1080/10236199608808053

zbMATH Keywords

finite difference methodsautonomous systemsnonlinear oscillatorcoupled nonlinear autonomous oscillatorsdiscrete energy function

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) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems ⋮ Synthetic nonlinear second-order oscillators on Riemannian manifolds and their numerical simulation

Cites Work

• Properties of finite difference models of non-linear conservative oscillators
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
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