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A wave equation with discontinuous time delay

A wave equation with discontinuous time delay

... A class of loaded equations that arise in solving certain inverse problems was explored within the general framework of differential equations with piecewise constant delay.. The purpose[r] ... See full document

8

Uniform attractors for the non autonomous suspension bridge equation with time delay

Uniform attractors for the non autonomous suspension bridge equation with time delay

... A one-dimensional simply supported beam suspended by hangers was modeled as a sus- pension bridge in [1] by Lazer and McKenna, which described the vibration of the roadbed in the vertical plane. In [1–3], the authors ... See full document

17

High-Order Time Discretization of The Wave Equation by Nabla-P
            Scheme.*

High-Order Time Discretization of The Wave Equation by Nabla-P Scheme.*

... high-order Discontinuous Galerkin Methods (DGM) which have demonstrated a high level of flexibility by allowing the use of different orders of approximation to solve a ...widely time discretization method ... See full document

8

General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

... viscoelastic equation for Kirchhoff type con- taining Balakrishnan-Taylor damping with a time-varying delay and acoustic boundary ...tic wave equations with acoustic boundary conditions, we ... See full document

21

High order immersed interface method for acoustic wave equation with discontinuous coeffcients

High order immersed interface method for acoustic wave equation with discontinuous coeffcients

... this equation and we postpone the treatment of the nonsmooth solution at the interface to the next sections, where we discuss and derive jump conditions and give an ap- proximation that extends the high accuracy ... See full document

24

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

... High order interface methods are important tools to develop more efficient approximations for simulation of long time behavior of wave propagation in 2D with low evaluation costs. A fifth order method has ... See full document

15

General energy decay for nonlinear wave equation of $phi-$Laplacian type with a delay term in the internal feedback

General energy decay for nonlinear wave equation of $phi-$Laplacian type with a delay term in the internal feedback

... with delay. In the classical theory of the wave equations several main parts of mathematics are joined in a fruitful way, it is very remarkable that the φ− Laplace wave equation occupies a ... See full document

10

Analysis and application of the discontinuous Galerkin method to the RLW equation

Analysis and application of the discontinuous Galerkin method to the RLW equation

... to time T = ...solitary wave from an initial condition to the terminal time T for a piecewise linear approximation with time step τ = ... See full document

20

Wave packet scattering and time delay

Wave packet scattering and time delay

... at time t = 0. The wave function for subsequent times was obtained by time-dependent perturbation theory, however, and so was accurate only to some order in the ...and time dependence of the ... See full document

154

General decay for a viscoelastic wave equation with strong time-dependent delay

General decay for a viscoelastic wave equation with strong time-dependent delay

... the delay term in the feedback and the weight of the term without ...a wave equation with past history and time delay in internal ... See full document

11

THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS

THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS

... (mKawahara) equation is a cubic non-linear equation with a fifth-order derivative ...the equation is suggested by Kawahara [12] with its steady ...mKawahara equation has implicit doubly ... See full document

10

Modeling and analysis of plant disease with delay and logistic growth of insect vector

Modeling and analysis of plant disease with delay and logistic growth of insect vector

... Now we consider the case when the delay τ > 0. We know that one eigenvalue is −r. For the stability change the characteristic equation should have a pair of purely imaginary root. To check whether the ... See full document

18

Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations

Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations

... [8] V. Dolean, M. El Bouajaji, M. J. Gander, S. Lanteri, and R. Perrussel. Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains. In Domain ... See full document

8

Boundary value problems for the diffusion equation with piecewise continuous time delay

Boundary value problems for the diffusion equation with piecewise continuous time delay

... A class of loaded equations that arise in solving certain inverse problems was explored within the general framework of differential equations with piecewise continuous delay The purpose[r] ... See full document

9

Lower bounds for blow-up time of a nonlinear viscoelastic wave equation

Lower bounds for blow-up time of a nonlinear viscoelastic wave equation

... In this section, we switch to discuss the lower bound of the blow-up time for the blow-up solution of (.). Before we state and prove our main result, we need the following lemma. Lemma . Suppose that (.), ... See full document

6

A fractional Fourier transform analysis of the scattering of ultrasonic waves

A fractional Fourier transform analysis of the scattering of ultrasonic waves

... a time-order plot in figure 2 for the cases where the forcing function is set as (i) a gated continuous wave and (ii) a Gaussian-modulated linear ...in time–frequency space obtained by using the ... See full document

14

Nonlinear integral inequalities with delay for discontinuous functions and their applications

Nonlinear integral inequalities with delay for discontinuous functions and their applications

... with delay for discontinuous functions involving two nonlinear ...differential equation are also given, which can not be estimated by Gallo and Piccirillo’s ... See full document

11

The Effect of Loss-Tangent on Laddering Behavior in Delay Lines

The Effect of Loss-Tangent on Laddering Behavior in Delay Lines

... The coupling between two adjacent lines has been completely analyzed in previous works. If we consider the meander line plotted in Fig. 1, it is cumbersome to predict the total coupling and exact delay using an ... See full document

10

A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case

A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case

... the wave is highly dissipative and slow in Biot’s low-frequency regime (corresponding to very low permeabilities), it will be necessary to implement an operator splitting technique or IMEX scheme to deal with the ... See full document

62

Convergence of a space time continuous Galerkin method for the wave equation

Convergence of a space time continuous Galerkin method for the wave equation

... ysis presented in this paper is different from those in [, , ] since we introduce Legendre polynomials and the corresponding Gauss integration rule to study the well-posedness of the STCG scheme and introduce a ... See full document

18

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