Exact nonstandard finite-difference methods for a linear system – the case of centers

DOI10.1080/10236190701607669zbMath1138.65055OpenAlexW1984960976MaRDI QIDQ5459809

Lih-Ing W. Roeger

Publication date: 29 April 2008

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

Full work available at URL: https://doi.org/10.1080/10236190701607669

zbMATH Keywords

numerical examplepopulation dynamicsLotka-Volterra predator-prey modelnonstandard finite-difference method

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (9)

An exact finite difference scheme for a three-layer beam model ⋮ Dynamically consistent discrete metapopulation model ⋮ Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation ⋮ Exact finite difference schemes for three-dimensional linear systems with constant coefficients ⋮ Numerical solutions of FitzHugh-Nagumo equation by exact finite-difference and NSFD schemes ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ Exact and nonstandard finite difference schemes for the generalized KdV-Burgers equation ⋮ Numerical solutions of Burgers–Huxley equation by exact finite difference and NSFD schemes ⋮ Lyapunov functions and global stability for a discretized multigroup SIR epidemic model

Cites Work

• An unconventional symplectic integrator of W. Kahan
• Nonstandard finite-difference schemes for the Lotka–Volterra systems: generalization of Mickens's method
• Unnamed Item

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