On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson's extrapolation
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Publication:5085254
DOI10.1080/10236198.2022.2069017zbMath1492.65219OpenAlexW4225128817MaRDI QIDQ5085254
Publication date: 27 June 2022
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2022.2069017
symmetrizationRichardson's extrapolationautonomous compartmental epidemiological modelhigher-order integrators via compositionMickens' nonstandard finite difference schemestructure preservation and consistency
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)
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Cites Work
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- NSFD discretizations of interacting population models satisfying conservation laws
- Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation
- Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models
- Hamiltonian structure of compartmental epidemiological models
- Nonstandard finite difference methods: recent trends and further developments
- A note on an NSFD scheme for a mathematical model of respiratory virus transmission
- Geometric Numerical Integration
- Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
- Bi-Hamiltonian structure of the Kermack-McKendrick model for epidemics
- Compartmental Models in Epidemiology
- An improvement of two nonstandard finite difference schemes for two population mathematical models
- Nonstandard finite difference method revisited and application to the Ebola virus disease transmission dynamics
- Application of Richardson extrapolation to the numerical solution of partial differential equations
- Numerical integration of population models satisfying conservation laws: NSFD methods
- Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
- Advances in the Applications of Nonstandard Finite Difference Schemes
