Nonstandard Finite Difference Method Applied to a Linear Pharmacokinetics Model [PDF]
Bioengineering, 2017 We extend the nonstandard finite difference method of solution to the study of pharmacokinetic–pharmacodynamic models. Pharmacokinetic (PK) models are commonly used to predict drug concentrations that drive controlled intravenous (I.V.) transfers (or ...
Oluwaseun Egbelowo +2 more
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Analyzing the dynamic patterns of COVID-19 through nonstandard finite difference scheme [PDF]
Scientific ReportsThis paper presents a novel approach to analyzing the dynamics of COVID-19 using nonstandard finite difference (NSFD) schemes. Our model incorporates both asymptomatic and symptomatic infected individuals, allowing for a more comprehensive understanding ...
Abeer Aljohani +2 more
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Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Open Physics, 2023 Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas +2 more
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Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations [PDF]
BMC Research Notes, 2021 Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions.
Masho Jima Kabeto, Gemechis File Duressa
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On nonstandard finite difference schemes in biosciences. [PDF]
AIP Conf Proc, 2012 We design, analyze and implement nonstandard finite difference (NSFD) schemes for some differential models in biosciences. The NSFD schemes are reliable in three directions. They are topologically dynamically consistent for onedimensional models. They can replicate the global asymptotic stability of the disease-free equilibrium of the MSEIR model in ...
Anguelov R, Dumont Y, Lubuma JM.
europepmc +7 more sources
Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs [PDF]
Journal of Applied Mathematics, 2012 We use the idea of nonstandard finite difference methods to derive the discrete variational integrators for multisymplectic PDEs. We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and
Cuicui Liao, Xiaohua Ding
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Nonstandard finite difference method for solving complex-order fractional Burgers’ equations [PDF]
Journal of Advanced Research, 2020 The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers’ equations. A new parameter σt is presented in order to be consistent with the physical model problem.
N.H. Sweilam +2 more
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Local and global stability analysis of HIV/AIDS by using a nonstandard finite difference scheme. [PDF]
Sci RepThis study presents a mathematical model incorporating both asymptomatic and symptomatic HIV-infected individuals to analyze the dynamics of HIV/AIDS. This expanded model offers a more comprehensive understanding of the epidemic’s spread.
Morani AH +5 more
europepmc +2 more sources
Nonstandard Finite Difference Schemes for an SIR Epidemic Model
Mathematics, 2021 This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law.
Mohammad Mehdizadeh Khalsaraei +3 more
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Modeling the Transmission Dynamics of Coronavirus Using Nonstandard Finite Difference Scheme
Fractal and Fractional, 2023 A nonlinear mathematical model of COVID-19 containing asymptomatic as well as symptomatic classes of infected individuals is considered and examined in the current paper.
Ihsan Ullah Khan +3 more
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