Optimal control and bifurcation diagram for a model nonlinear fractional SIRC [PDF]
Alexandria Engineering Journal, 2020 In this article, the optimal control for nonlinear SIRC model is studied in fractional order using the Caputo fractional derivative. Graph signal flow is given of the model and simulated by Simulink/Matlab which helps in discussing the topological ...
Mahdy A +3 more
europepmc +2 more sources
Numerical Analysis of Parabolic p-Laplacian: Approximation of Trajectories [PDF]
SIAM Journal on Numerical Analysis, 2000 The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
exaly +2 more sources
Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE).
Alahyane Mohamed +2 more
doaj +1 more source
A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
doaj +1 more source
Metastable energy strata in numerical discretizations of weakly nonlinear wave equations [PDF]
, 2016 The quadratic nonlinear wave equation on a one-dimensional torus with small initial values located in a single Fourier mode is considered. In this situation, the formation of metastable energy strata has recently been described and their long-time ...
Gauckler, Ludwig, Weiss, Daniel
core +4 more sources
Alexandria Engineering Journal, 2020 Fractional derivative has a memory and non-localization features that make it very useful in modelling epidemics’ transition. The kernel of Caputo-Fabrizio fractional derivative has many features such as non-singularity, non-locality and an exponential ...
M. Higazy, Maryam Ahmed Alyami
doaj +1 more source
A universal constitutive model for the interfacial layer between a polymer melt and a solid wall [PDF]
, 2003 In a preceeding report we derived the evolution equation for the bond vector probability distribution function (BVPDF) of tethered molecules. It describes the behavior of polymer molecules attached to a solid wall interacting with an adjacent flowing ...
Molenaar, J. +2 more
core +10 more sources
Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations [PDF]
, 2022 The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e., numerical approximations whose energy decreases, just like in the original differential equation.
Atencia-Ruiz, Miguel Alejandro +1 more
core +2 more sources
A robust numerical method to study oscillatory instability of gap solitary waves [PDF]
, 2004 The spectral problem associated with the linearization about solitary waves of spinor systems or optical coupled mode equations supporting gap solitons is formulated in terms of the Evans function, a complex analytic function whose zeros correspond to ...
Alexander J. +3 more
core +3 more sources
Modulated rotating waves in the magnetized spherical Couette system [PDF]
, 2019 We present a study devoted to a detailed description of modulated rotating waves (MRW) in the magnetized spherical Couette system. The set-up consists of a liquid metal confined between two differentially rotating spheres and subjected to an axially ...
Garcia, F. +3 more
core +2 more sources