NONSTANDARD FINITE DIFFERENCE METHODS

DOI10.1142/9789812703316_0001zbMath1085.65071OpenAlexW2485029991MaRDI QIDQ3372233

Ronald E. Mickens

Publication date: 20 February 2006

Published in: Advances in the Applications of Nonstandard Finite Difference Schemes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812703316_0001

zbMATH Keywords

historical surveystellar structurereaction-diffusion modelHIV transmissionnonstandard finite difference methodsheat/diffusion transport

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) History of numerical analysis (65-03)

Related Items (28)

Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Padé-approximation ⋮ Comparative study for optimal control nonlinear variable-order fractional tumor model ⋮ Non standard finite difference scheme preserving dynamical properties ⋮ Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences ⋮ Non‐standard finite difference schemes for multi‐dimensional second‐order systems in non‐smooth mechanics ⋮ To study the transmission dynamic of SARS-CoV-2 using nonlinear saturated incidence rate ⋮ Dynamic consistent non-standard numerical scheme for a dengue disease transmission model ⋮ Non-standard methods for singularly perturbed problems possessing oscillatory/layer solutions ⋮ Some qualitative properties of the discrete models for malaria propagation ⋮ A non‐standard finite difference method for space fractional advection–diffusion equation ⋮ Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models ⋮ A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation ⋮ On a diffusive bacteriophage dynamical model for bacterial infections ⋮ On a weakly L‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations ⋮ Unnamed Item ⋮ Nonstandard finite difference method revisited and application to the Ebola virus disease transmission dynamics ⋮ Numerical solution of singularly perturbed differential difference equations with mixed parameters ⋮ odeToJava ⋮ Unnamed Item ⋮ Dynamically consistent nonstandard finite difference schemes for epidemiological models ⋮ Evolution of a mathematical model of an aggressive-invasive cancer under chemotherapy ⋮ Energy properties preserving schemes for Burgers' equation ⋮ Dynamic consistent NSFD scheme for a delayed viral infection model with immune response and nonlinear incidence ⋮ High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations ⋮ Dynamically consistent numerical methods for general productive–destructive systems ⋮ Topological dynamic consistency of non-standard finite difference schemes for dynamical systems ⋮ A nonstandard finite difference method forn-dimensional productive–destructive systems ⋮ Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative

This page was built for publication: NONSTANDARD FINITE DIFFERENCE METHODS