Yellow virus epidemiological analysis in red chili plants using Mittag-Leffler kernel
Alexandria Engineering Journal, 2023 This scientific study investigates to check the dynamical behavior of yellow virus in red chilli with fractional order techniques. While attempts are being made to stop the yellow virus pandemic, a more infectious yellow virus found in red chilli is ...
Muhammad Farman +8 more
doaj
Numerical bifurcation analysis of a class of nonlinear renewal equations [PDF]
, 2016 We show, by way of an example, that numerical bifurcation tools for ODE yield reliable bifurcation diagrams when applied to the pseudospectral approximation of a one-parameter family of nonlinear renewal equations.
Breda, Dimitri +3 more
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Positivity preservation of implicit discretizations of the advection equation [PDF]
, 2021 We analyze, from the viewpoint of positivity preservation, certain discretizations of a fundamental partial differential equation, the one-dimensional advection equation with periodic boundary condition.
Hadjimichael, Yiannis +2 more
core +1 more source
A new adaptive nonlinear numerical method for singular and stiff differential problems
Alexandria Engineering Journal, 2023 In this work, a new adaptive numerical method is proposed for solving nonlinear, singular, and stiff initial value problems often encountered in real life.
Sania Qureshi +6 more
doaj
Equations with infinite delay : Numerical bifurcation analysis via pseudospectral discretization [PDF]
, 2018 We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available.
Gyllenberg, Mats +2 more
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Fractional mathematical modeling of the Stuxnet virus along with an optimal control problem
Ain Shams Engineering Journal, 2023 In this digital, internet-based world, it is not new to face cyber attacks from time to time. A number of heavy viruses have been made by hackers, and they have successfully given big losses to our systems.
Pushpendra Kumar +4 more
doaj
, 2009 We numerically simulate a photonics phenomenon of what we call intensity inversion between red and green fluorescence in oxyfluoride nanophase vitroceramics Er(1%)Yb(8%):FOV through the integration of whole fluorescence’s theories.
Ce Wang, Xiao-bo Chen
semanticscholar +1 more source
Computing the eigenvalues of realistic Daphnia models by pseudospectral methods [PDF]
, 2015 This work deals with physiologically structured populations of the Daphnia type. Their biological modeling poses several computational challenges. In such models, indeed, the evolution of a size structured consumer described by a Volterra functional ...
Breda, Dimitri +3 more
core +3 more sources
Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples [PDF]
, 2013 Explicit computational formulas for the coefficients of the periodic normal forms for codimension 2 (codim 2) bifurcations of limit cycles in generic autonomous ODEs are derived.
De Witte, Virginie +3 more
core +1 more source
The Essential Stability of Local Error Control for Dynamical Systems [PDF]
, 1995 Although most adaptive software for initial value problems is designed with an accuracy requirement—control of the local error—it is frequently observed that stability is imparted by the adaptation.
Humphries, A. R., Stuart, A. M.
core +1 more source