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Nonstandard Finite Difference Scheme for the Epidemic Model with Vaccination
For the epidemic model with vaccination we present a new nonstandard finite difference scheme by using an exponential integrator to discretize...
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A generalized model for the population dynamics of a two stage species with recruitment and capture using a nonstandard finite difference scheme
The aim of this work is to formulate and analyze a new and generalized discrete-time population dynamics model for a two-stage species with...
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Nonstandard finite difference schemes for linear and non-linear Fokker–Planck equations
The goal of this paper is to develop a nonstandard finite difference-based numerical technique for solving the one-dimensional linear and non-linear...
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Extending Nonstandard Finite Difference Scheme for SIR Epidemic Model
When constructing a non-standard difference scheme for the differential equations, denominator of the discrete derivative is chosen as the functions...
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Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations
A non-standard finite difference scheme with Haar wavelet basis functions is constructed for the convection–diffusion type singularly perturbed...
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On the Advantages of Nonstandard Finite Difference Discretizations for Differential Problems
AbstractThe goal of this work is to highlight the advantages of using NonStandard Finite Difference (NSFD) numerical schemes for the solution of...
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A class of second-order and dynamically consistent nonstandard finite difference schemes for nonlinear Volterra’s population growth model
In a recent work (Hoang in Math Comput Simul 199:359–373, 2022), a class of nonstandard finite difference (NSFD) schemes preserving the positivity...
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An Efficient Non-standard Finite Difference Scheme for Solving Distributed Order Time Fractional Reaction–Diffusion Equation
In this article, a nonstandard finite difference scheme is proposed for solving the distributed order time-fractional reaction–diffusion equation. In...
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A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system
The aim of this paper is to introduce and analyze a novel fractional chaotic system including quadratic and cubic nonlinearities. We take into...
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Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model
The aim of this work is to formulate and analyze nonstandard finite difference (NSFD) schemes for a recognized virus-patch dynamic model. We...
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Higher-Order Finite-Difference Schemes for Nonlinear Two-Point Boundary Value Problems
We present a family of high-order multi-point finite difference methods for solving nonlinear two-point boundary value problems. The family involves...
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Erratum to: On the Advantages of Nonstandard Finite Difference Discretizations for Differential Problems
An Erratum to this paper has been published: https://doi.org/10.1134/S1995423922040127
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Realization of the Exact Three-Point Finite-Difference Schemes for the System of Second-Order Ordinary Differential Equations
We consider an exact three-point finite-difference scheme (EDS) for the Dirichlet boundary-value problem for a system of second-order ordinary...
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Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation
In this article, non-standard compact finite difference schemes are constructed for the numerical approximation to first- and second-order...
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An implicit nonlinear difference scheme for two-dimensional time-fractional Burgers’ equation with time delay
In this paper, based on the L 1 discretization for the Caputo fractional derivative, a fully implicit nonlinear difference scheme with (
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Multigrid with Nonstandard Coarse-Level Operators and Coarsening Factors
We consider the numerical solution of Poisson’s equation on structured grids using geometric multigrid with nonstandard coarse grids and coarse-level...
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Numerical dynamics of nonstandard finite difference schemes for a Logistics model with feedback control
In this paper, we construct nonstandard finite difference (NSFD) schemes that preserve essential qualitative properties of a Logistics model with...
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A dynamically consistent nonstandard finite difference scheme for a predator–prey model
The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for...
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Global dynamics of target-mediated drug disposition models and their solutions by nonstandard finite difference method
The aim of this work is to study global dynamics of target-mediated drug disposition (TMDD) models and their solutions by nonstandard finite...
