Dynamically consistent numerical methods for general productive–destructive systems

DOI10.1080/10236191003781947zbMath1230.65090OpenAlexW2044043054MaRDI QIDQ3103825

Hristo V. Kojouharov, Dobromir T. Dimitrov

Publication date: 12 December 2011

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

Full work available at URL: https://doi.org/10.1080/10236191003781947

zbMATH Keywords

numerical examplesentire functionsexponential polynomialsbiological systemsdynamic consistencysystem of equationsrecurrent step equationsnon-standard finite-difference schemesproductive-destructive systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) Computational methods for problems pertaining to biology (92-08)

Related Items (11)

Non standard finite difference scheme preserving dynamical properties ⋮ Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences ⋮ A class of nonstandard numerical methods for autonomous dynamical systems ⋮ Dynamically consistent discrete metapopulation model ⋮ Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models ⋮ Universal approaches to approximate biological systems with nonstandard finite difference methods ⋮ On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model ⋮ Unnamed Item ⋮ Traveling wavefronts of a delayed temporally discrete reaction-diffusion equation ⋮ A nonstandard finite difference method forn-dimensional productive–destructive systems ⋮ Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion

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