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 +1 more source
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
Productivity of topinambur on podzolic degradated soils
, 2021 Purpose of research. To determine rational fertilization systems for growing topinambur on low fertility soil to increase the productivity of plant community in order to strengthen the feedstock base for the production of bioethanol. Methods.
V. Lopushniak +3 more
semanticscholar +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
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 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
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
PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION
Forum of Mathematics, Sigma, 2014 Plane wave solutions to the cubic nonlinear Schrödinger equation on a torus have recently been shown to behave orbitally stable. Under generic perturbations of the initial data that are small in a high-order Sobolev norm, plane waves are stable over long
ERWAN FAOU +2 more
doaj +1 more source
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