Results 31 to 40 of about 14,242,248 (191)

Nonstandard finite difference methods for solving models of population dynamics [PDF]

open access: yesAIP Conference Proceedings, 2019
For years, mathematical modeling has been involved in solving problems occurred in ecology relating to population dynamics. In this paper, we solve several models of population dynamic using nonstandard finite difference methods. We compare our results of nonstandard finite difference methods with those of Euler’s and Heun’s methods. Our research shows
Kono, Especially Angelina   +1 more
openaire   +1 more source

Non-standard and Numerov finite difference schemes for finite difference time domain method to solve one-dimensional Schrödinger equation

open access: yesJournal of Physics: Theories and Applications, 2018
The purpose of  this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
doaj   +1 more source

Qualitatively Stable Schemes for the Black–Scholes Equation

open access: yesFractal and Fractional, 2023
In this paper, the Black–Scholes equation is solved using a new technique. This scheme is derived by combining the Laplace transform method and the nonstandard finite difference (NSFD) strategy. The qualitative properties of the method are discussed, and
Mohammad Mehdizadeh Khalsaraei   +5 more
doaj   +1 more source

Fast finite difference time domain analysis of microstrip patch antennas [PDF]

open access: yes, 1991
Although the finite-difference-time-domain method has been successfully used to model microstrip-fed patch antennas, this has been achieved using uniform grids.
Daniel, EM, Railton, CJ
core   +1 more source

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

open access: yesAlexandria 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   +3 more
doaj   +1 more source

Numerical modeling of susceptible latent breaking-out quarantine computer virus epidemic dynamics

open access: yesHeliyon, 2018
This work is concerned with the numerical modeling of susceptible-latent-breakingout-quarantine-susceptible (SLBQRS) computer virus dynamics. The SLBQRS epidemic system is solved with three finite difference methods, one is proposed nonstandard finite ...
Umbreen Fatima   +3 more
doaj   +1 more source

An Application of Nonstandard Finite Difference Method to a Model Describing Diabetes Mellitus and Its Complications

open access: yesJournal of New Theory, 2023
In this study, a mathematical model describing diabetes mellitus and its complications in a population is considered. Since standard numerical methods can lead to numerical instabilities, it aims to solve the problem using a nonstandard method. Among the
İlkem Turhan Çetinkaya
doaj   +1 more source

High order nonstandard finite-difference methods

open access: yesApplied Mathematics and Computation
Nonstandard finite difference (NSFD) methods have been considered to overcome some issues of standard methods, particularly when the numerical solution must preserve important properties of the exact solution. These issues increase for high order methods.
D. Conte, G. Pagano, T. Roldán
openaire   +4 more sources

Stochastic Analysis of Nonlinear Cancer Disease Model through Virotherapy and Computational Methods

open access: yesMathematics, 2022
Cancer is a common term for many diseases that can affect anybody. A worldwide leading cause of death is cancer, according to the World Health Organization (WHO) report. In 2020, ten million people died from cancer.
Ali Raza   +4 more
doaj   +1 more source

New Coronavirus (2019-nCov) Mathematical Model Using Piecewise Hybrid Fractional Order Derivatives; Numerical Treatments

open access: yesMathematics, 2022
A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, in order to be consistent with the physical model problem, a new parameter μ is presented.
Nasser H. Sweilam   +4 more
doaj   +1 more source

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