A fast and unconditionally positive finite-difference discretization of a multidimensional equation in nonlinear population dynamics
DOI10.1080/10236198.2014.970637zbMath1322.65115OpenAlexW2049452237MaRDI QIDQ2944125
Publication date: 7 September 2015
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2014.970637
multidimensional modelunconditionally positive schemeexact finite-difference methodfast computational techniquesimulations of bacterial growthunconditionally bounded technique
Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Partial difference equations (39A14) Numerical methods for difference equations (65Q10)
Cites Work
- Unnamed Item
- Regularizing and decay rate estimates for solutions to the Cauchy problem of the Debye-Hückel system
- Qualitative analysis and simulations of a free boundary problem for multispecies biofilm models
- Persistence in a single species CSTR model with suspended flocs and wall attached biofilms
- An unconditionally positivity preserving scheme for advection-diffusion reaction equations
- A positive finite-difference model in the computational simulation of complex biological film models
- Topological dynamic consistency of non-standard finite difference schemes for dynamical systems
- Exact finite difference and non-standard finite difference schemes for
- A SIR-model with square-root dynamics: An NSFD scheme
- On a fully discrete finite-difference approximation of a nonlinear diffusion–reaction model in microbial ecology
- Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
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