Results 1 to 10 of about 68 (42)

Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation

open access: yesNonlinear Engineering, 2023
In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan   +3 more
doaj   +1 more source

Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation

open access: yesDemonstratio Mathematica, 2021
In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj   +1 more source

ON APPROXIMATE AND CLOSED-FORM SOLUTION METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS [PDF]

open access: yes, 2016
This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients.
Akinlabi, G. O., Edeki, S.O.
core   +1 more source

Energy decay in thermoelastic bodies with radial symmetry [PDF]

open access: yes, 2022
In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro ...
Bazarra, Noelia   +2 more
core   +2 more sources

Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains [PDF]

open access: yes, 2015
It is well established that the solitary waves of FPU-type chains converge in the high-energy limit to traveling waves of the hard-sphere model. In this paper we establish improved asymptotic expressions for the wave profiles as well as an explicit ...
Herrmann, Michael, Matthies, Karsten
core   +2 more sources

The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity [PDF]

open access: yes, 2009
The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness h of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of h, it
Abels, Helmut   +2 more
core   +2 more sources

A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]

open access: yes, 2002
In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M.   +2 more
core   +1 more source

Optimal sensors placement in dynamic damage detection of beams using a statistical approach [PDF]

open access: yes, 2020
Structural monitoring plays a central role in civil engineering; in particular, optimal sensor positioning is essential for correct monitoring both in terms of usable data and for optimizing the cost of the setup sensors.
Lofrano E.   +3 more
core   +1 more source

Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

open access: yesOpen Physics, 2016
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel   +2 more
doaj   +1 more source

Stability Problems and Analytical Integration for the Clebsch’s System

open access: yesOpen Mathematics, 2019
The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
doaj   +1 more source

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