Results 201 to 210 of about 252,020 (241)

Investigation of nonstandard finite difference for fractional order Covid-19 model

GAZI UNIVERSITY JOURNAL OF SCIENCE
This article examines a mathematical model of the Covid-19 type. We demonstrate how the population is impacted by immigration, protection, the mortality, exposure, curing, and interactions between sick and healthy individuals.
M. Merdan, Pınar Açıkgöz
semanticscholar   +1 more source

Nonstandard Finite-Difference Time-Domain Methodology for Light Propagation in 3rd Order Nonlinear Materials

International Conference on Advances in Cybersecurity
The finite-difference time-domain (FDTD) methodology is widely used in computational electromagnetics, but unless a fine space-time mesh is used its accuracy is low.
James B. Cole, Saswatee Bamerjee
semanticscholar   +1 more source

Nonstandard finite difference methods preserving general quadratic Lyapunov functions

arXiv.org, 2023
In this work, we consider a class of dynamical systems described by ordinary differential equations under the assumption that the global asymptotic stability (GAS) of equilibrium points is established based on the Lyapunov stability theory with the help ...
M. T. Hoang
semanticscholar   +1 more source

A nonstandard finite-difference scheme for the Lotka–Volterra system

Applied Numerical Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Path Integral Representation Model to Extend the Analytical Capability of the Nonstandard Finite-difference Time-domain Method

Applied Computational Electromagnetics Society Journal (ACES)
The nonstandard finite-difference time-domain (NS-FDTD) method is a powerful tool for solving Maxwell’s equations in their differential form on orthogonal grids.
T. Ohtani, Y. Kanai, N. Kantartzis
semanticscholar   +1 more source

Applications of the Nonstandard Finite Difference Method to a Fractional Model Explaining Diabetes Mellitus and Its Complications

Contemporary Mathematics
This work examines a mathematical model of diabetes mellitus and its consequences in a population using fractional differential equations. It attempts to solve the problem using a nonstandard way because standard finite difference numerical methods can ...
Said Al Kathiri, Farah Aini Abdullah, N. Hamid, Eihab B. M. Bashier, A. Bhat, D. A. Sunny   +5 more
semanticscholar   +1 more source

An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations

International Journal of Computer Mathematics, 2018
In this work, we consider numerical solutions of the FitzHugh–Nagumo system of equations describing the propagation of electrical signals in nerve axons.
Michael Chapwanya, Olaoluwa Ayodeji Jejeniwa, Appanah Rao Appadu, Jean M.-S. Lubuma   +3 more
openaire   +2 more sources

Nonstandard Finite Difference Time Domain Methodology to Simulate Light Propagation in Nonlinear Materials

Applied Computational Electromagnetics Society Journal (ACES)
We extend the nonstandard (NS) finite difference time domain (FDTD) methodology, originally developed to solve Maxwell’s equations in linear materials, to nonlinear ones.
James B. Cole
semanticscholar   +1 more source

Nonstandard Finite Difference Schemes for Differential Equations

Journal of Difference Equations and Applications, 2002
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.
openaire   +1 more source

Generalized nonstandard finite differences and physical applications

Computers in Physics, 1998
Nonstandard finite differences can be used to construct exact algorithms to solve some differential equations of physical interest such as the wave equation and Schrödinger’s equation. Even where exact algorithms do not exist, nonstandard finite differences can greatly improve the accuracy of low-order finite-difference algorithms with a computational ...
openaire   +1 more source