Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions. [PDF]
J Nonlinear Sci, 2018 We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links.
Barré J +4 more
europepmc +7 more sources
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 +1 more source
Modelling and analysis tuberculosis (TB) model with hybrid fractional operator
Alexandria Engineering Journal, 2023 In this work, we aim to propose a hybrid fractional-order model for investigation and observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) operator.
Muhammad Farman +2 more
doaj +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 +1 more source
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 +1 more source
Fractional order COVID 19 model with transmission rout infected through environment [PDF]
, 2022 In this paper, we study a fractional order COVID-19 model using different techniques and analysis. The sumudu transform is applied with the environment as a route of infection in society to the proposed fractional-order model. It plays a significant part
Ahmad, Aqeel +5 more
core +1 more source
Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates [PDF]
, 2006 The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Anders Logg +8 more
core +1 more source
A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities [PDF]
, 2016 7 pages; 3 figures.International audienceIn this article the authors describe the method of construction of approximate chaotic solutions of dynamical model equations with quadratic nonlinearities in a general form using a new accurate numerical method ...
Lozi, René +2 more
core +3 more sources
Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits [PDF]
, 2018 We study a semilinear differential-algebraic equation (DAE) with the focus on the Lagrange stability (instability). The conditions for the existence and uniqueness of global solutions (a solution exists on an infinite interval) of the Cauchy problem, as ...
Filipkovska, Maria
core +1 more source
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
core +1 more source