This paper gives an introduction to nonstandard finite difference methods useful for the construction of discrete models of differential equations when numerical solutions are required. While the general rules for such schemes are not precisely known at the present time, several important criterion have been found. We provide an explanation of their significance and apply…
The Journal of Difference Equations and Applications Template
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About the The Journal of Difference Equations and Applications format
The Journal of Difference Equations and Applications is a peer-reviewed journal published by Taylor & Francis, covering Mathematical and Theoretical Epidemiology and Ecology Models, Nonlinear Differential Equations Analysis, Advanced Differential Equations and Dynamical Systems.
| Publisher | Taylor & Francis |
|---|---|
| Reference style | Author–year (Chicago, T&F) Author–year — (Smith, 2023) in the text Smith, Ada, Ben Jones, and Cara Lee. 2023. "A Representative Article Title." The Journal of Difference Equations and Applications 12 (3): 45–58.
Formats any DOI in The Journal of Difference Equations and Applications style. No sign-up. |
| Publishes research in | Mathematical and Theoretical Epidemiology and Ecology Models Nonlinear Differential Equations Analysis Advanced Differential Equations and Dynamical Systems Mathematical Dynamics and Fractals Differential Equations and Numerical Methods |
| ISSN | 1023-6198 |
| Citation impact (2-yr) | 1.02 |
| h-index | 63 |
| i10-index | 907 |
| Total citations | 30,449 |
| Top institutions publishing here | University of Rhode Island |
| Journal website | www.tandfonline.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in The Journal of Difference Equations and Applications per year
Citation impact of The Journal of Difference Equations and Applications by publication year
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Most-cited papers in The Journal of Difference Equations and Applications
The need often arises to analyze the dynamics of a system in terms of a discrete formulation. This can occur by using an a priori discrete model of the system or by discretizing a continuous model. For the latter case, the continuous model is represented by differential equations and the discrete forms come from the…
In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation. We invert the problem and construct and analyse the corresponding Green's function. We then provide an application and obtain sufficient conditions for the existence of positive solutions for a two-point boundary value problem for a nonlinear finite fractional difference…
The next generation matrix approach for calculating the basic reproduction number is summarized for discrete-time epidemic models. This approach is applied to six disease models developed for the study of two emerging wildlife diseases: hantavirus in rodents and chytridiomycosis in amphibians. Two of the models include discrete spatial patches. For each model, is calculated in…
In this Paper, we illustrate a method (called the ECO method) for enumerating some classes of combinatorial objects. The basic idea of this method is the following: by means of an operator that performs a "local expansion" on the objects, we give some recursive constructions of these classes. We use these constructions to deduce some…