NSFD discretizations of interacting population models satisfying conservation laws

DOI10.1016/j.camwa.2013.06.011zbMath1350.65075OpenAlexW2060627227MaRDI QIDQ316385

Ronald E. Mickens, 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.2013.06.011

zbMATH Keywords

conservation lawspopulation modelsnonstandard finite difference methodexact schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation ⋮ A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model ⋮ A comprehensive theory on generalized BBKS schemes ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ An improvement of two nonstandard finite difference schemes for two population mathematical models

Cites Work

• Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
• Numerical integration of population models satisfying conservation laws: NSFD methods
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
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