NSFD representations for polynomial terms appearing in the potential functions of 1-dimensional conservative systems

DOI10.1016/j.camwa.2013.06.017zbMath1350.65137OpenAlexW2069251948MaRDI QIDQ316381

Talitha M. Washington

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.06.017

zbMATH Keywords

nonlinear oscillatorsHamiltonianconservative systemsnonstandard finite difference schemes

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

Nonstandard finite difference methods: recent trends and further developments

Cites Work

• Unnamed Item
• Properties of finite difference models of non-linear conservative oscillators
• A NON-STANDARD FINITE-DIFFERENCE SCHEME FOR CONSERVATIVE OSCILLATORS
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• NONSTANDARD DISCRETIZATION SCHEMES APPLIED TO THE CONSERVATIVE HÉNON–HEILES SYSTEM
• Construction of finite difference schemes for coupled nonlinear oscillators derived form a discrete energy function

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