A simple construction of nonstandard finite-difference schemes for small nonlinear systems applied to SIR models
type: Item
instance of: scholarly article
title: A simple construction of nonstandard finite-difference schemes for small nonlinear systems applied to SIR models
zbMATH Open document ID: 1350.65079
publication date: 2016-09-27T00:00:00Z
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6629976
zbMATH Keywords: nonstandard finite differences
zbMATH Keywords: SIR
zbMATH Keywords: difference equations
zbMATH Keywords: numerical examples
zbMATH Keywords: systems
zbMATH Keywords: nonlinear
zbMATH Keywords: artificial viscosity
zbMATH Keywords: predictor-corrector scheme
zbMATH Keywords: explicit scheme
author: K. F. Gurski
MaRDI profile type: Publication
full work available at URL: j.camwa.2013.06.034
OpenAlex ID: W2025950736
cites work: Q2716352
cites work: Q3549512
cites work: Contributions to the mathematics of the nonstandard finite difference method and applications
cites work: Q4309510
cites work: Nonstandard finite difference schemes
cites work: A smart nonstandard finite difference scheme for second order nonlinear boundary value problems
cites work: Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems
cites work: An unconditionally convergent finite-difference scheme for the \(SIR\) model
cites work: Numerical integration of population models satisfying conservation laws: NSFD methods
cites work: A nonstandard dynamically consistent numerical scheme applied to obesity dynamics
cites work: Vector control for the Chikungunya disease
cites work: Nonstandard numerical methods for a mathematical model for influenza disease
cites work: Nonstandard finite difference schemes for Michaelis–Menten type reaction‐diffusion equations
cites work: A nonstandard numerical scheme of predictor-corrector type for epidemic models
cites work: Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models
cites work: Application of Richardson extrapolation to the numerical solution of partial differential equations
cites work: A simple food chain with a growth inhibiting nutrient
cites work: Q3150276
cites work: Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
cites work: Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
cites work: Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
cites work: Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
cites work: Q4407485
cites work: Q4420178
DOI: 10.1016/J.CAMWA.2013.06.034
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6629976