Results 41 to 50 of about 252,020 (241)

Structure Preserving Numerical Analysis of Reaction-Diffusion Models

Journal of Function Spaces, 2022
In this paper, we examine two structure preserving numerical finite difference methods for solving the various reaction-diffusion models in one dimension, appearing in chemistry and biology.
Nauman Ahmed, Muhammad Aziz-ur Rehman, Waleed Adel, Fahd Jarad, Mubasher Ali, Muhammad Rafiq, Ali Akgül   +6 more
doaj   +1 more source

Nonstandard finite differences for a truncated Bratu–Picard model

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zegeling, Paul Andries, Iqbal, Sehar
openaire   +4 more sources

Nonstandard finite difference schemes for fractional order Brusselator system

, 2013
In this paper we discuss numerical methods for fractional order problems. Some nonstandard finite difference schemes are presented and investigated. The application in the simulation of a fractional order Brusselator system is hence presented.
Arslan D, Mevlüde Ongun, Roberto Garrappa, Ongun MY, GARRAPPA, Roberto, Damla Arslan   +5 more
core   +1 more source

Nonstandard finite difference schemes for some epidemic optimal control problems [PDF]

Mathematics and Computers in Simulation
We construct and analyse nonstandard finite difference (NSFD) schemes for two epidemic optimal control problems. Firstly, we consider the well-known MSEIR system that can be used to model childhood diseases such as the measles, with the vaccination as a ...
A. J. O. Tassé, Vuyiswa B. Kubalasa, B. Tsanou, J. Lubuma   +3 more
semanticscholar   +2 more sources

A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments

Alexandria Engineering Journal
A novel crossover model for monkeypox disease that incorporates Ψ-Caputo fractional derivatives is presented here, where we use a simple nonstandard kernel function Ψ(t).
N.H. Sweilam, S.M. Al-Mekhlafi, W.S. Abdel Kareem, G. Alqurishi   +3 more
doaj   +1 more source

Chaotic numerical instabilities arising in the transition from differential to difference nonlinear equations

Discrete Dynamics in Nature and Society, 2000
For computational purposes, a numerical algorithm maps a differential equation into an often complex difference equation whose structure and stability depends on the scheme used.
Alicia Serfaty de Markus
doaj   +1 more source

A hybrid fractional optimal control for a novel Coronavirus (2019-nCov) mathematical model

Journal of Advanced Research, 2021
Introduction: Coronavirus COVID-19 pandemic is the defining global health crisis of our time and the greatest challenge we have faced since world war two. To describe this disease mathematically, we noted that COVID-19, due to uncertainties associated to
N.H. Sweilam, S.M. AL-Mekhlafi, D. Baleanu   +2 more
doaj   +1 more source

Qualitative Study of a Dynamical System for Computer Virus Propagation—A Nonstandard Finite‐Difference‐Methodological View

Mathematical methods in the applied sciences
In this article, we consider a nonlinear model that was originally proposed for computer virus propagation by Gan and coauthors in 2013. As our first contribution, we re‐examined and extended some analytical results regarding this dynamical system ...
Benjamin Wacker
semanticscholar   +1 more source

Nonstandard finite-difference schemes for the two-level Bloch model [PDF]

International Journal of Modeling, Simulation, and Scientific Computing, 2018
In this paper, we present splitting schemes for the two-level Bloch model. After proposing two ways to split the Bloch equation, we show that it is possible in each case to generate exact numerical solutions of the obtained sub-equations. These exact solutions involve matrix exponentials which can be expensive to compute.
Marc E. Songolo, Brigitte Bidégaray-Fesquet   +1 more
openaire   +2 more sources

Nonstandard Finite Difference Schemes

Notices of the American Mathematical Society, 2000
The major research activities of this proposal center on the construction and analysis of nonstandard finite-difference schemes for ordinary and partial differential equations. In particular, we investigate schemes that either have zero truncation errors (exact schemes) or possess other significant features of importance for numerical integration.
openaire   +2 more sources