Results 41 to 50 of about 1,124 (201)

The solution of some differential equations by nonstandard finite difference method [PDF]

open access: yes, 2005
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005Includes bibliographical references (leaves: 55-57)Text in English; Abstract: Turkish and Englishix, 66 leavesIn this thesis, the nonstandard finite difference method is applied to ...
Kıran Güçoğlu, Arzu
core   +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

Nonstandard Finite Difference Schemes for HIV Models Arising in Epidemiology

open access: yes, 2022
In this study, the numerical solution of Nonstandard Finite Difference Schemes for HIV Models Arising in Epidemiology have been presented. First, the given domain or region is discritized and the derivatives of the differential equation were replaced ...
Lukas Degu   +2 more
core  

Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order

open access: yesComplexity, 2017
A novel mathematical fractional model of multistrain tuberculosis with time delay memory is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the sense of the ...
Nasser Hassan Sweilam   +2 more
doaj   +1 more source

DeepMapper: Attention‐Based AutoEncoder for System Identification in Wound Healing and Stage Prediction

open access: yesAdvanced Intelligent Discovery, EarlyView.
The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu   +11 more
wiley   +1 more source

Non-standard discretization of biological models [PDF]

open access: yes, 2015
We consider certain types of discretization schemes for differential equations with quadratic nonlinearities, which were introduced by Kahan, and considered in a broader setting by Mickens.
Towler, Kim, Hone, Andrew N.W.
core  

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