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wave equation

Full discretization of wave equation

Full discretization of wave equation

... Laplace equation and Maxwell system, the finite element method is one of the most relied on methods because it is much more interested in the analysis of the error committed between the exact solution and the ...

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Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method

Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method

... conduction equation on Cantor sets [] and the local fractional Laplace equation ...damped wave equation and the dissipative wave equation in fractal strings equipped with ...

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The wave equation with internal control in non cylindrical domains

The wave equation with internal control in non cylindrical domains

... In this paper, we consider interior controllability for a one-dimensional wave equation in a domain with moving boundary. When the speed of the moving endpoint is less than a certain constant which is less ...

12

On the time dependent parabolic wave equation

On the time dependent parabolic wave equation

... with µ = (γ, σ ), however, the procedure predicts unbounded wave amplitudes. A re- lated approach that is valid on the caustic curve is the Lagrange manifold formalism developed by Maslov [12] and Arnol’d [2]. ...

9

The Relativistic Hermite Polynomials and the Wave Equation

The Relativistic Hermite Polynomials and the Wave Equation

... 2D wave equation to wave functions for the 3D wave equation, which so will have the RHPs as their central ...3D wave functions, that resorts to the same fundamental form of the ...

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Exact controllability for a wave equation with fixed boundary control

Exact controllability for a wave equation with fixed boundary control

... one-dimensional wave equation in domains with moving boundary. This equation characterizes the motion of a string with a fixed endpoint and the other one ...

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Decay estimate of solutions for a semi-linear wave equation

Decay estimate of solutions for a semi-linear wave equation

... The study of the global existence and asymptotic behavior of solutions to dissipative hyperbolic-type equations has a long history. We refer to [–, , ] for the damped wave equation. Also, we refer to ...

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ON OPTIMIZATION METHOD IN THE NEUMANN PROBLEM FOR WAVE EQUATION

ON OPTIMIZATION METHOD IN THE NEUMANN PROBLEM FOR WAVE EQUATION

... dimensional inverse problems and in the obtained problem, iterational solution methods are suggested. In the present paper we consider the Neumann prob- lem for the wave equation also in two-dimensional ...

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Relativistic Gauge Invariant Wave Equation of the Electron Neutrino

Relativistic Gauge Invariant Wave Equation of the Electron Neutrino

... left wave of its neutrino, we write the tensorial densities coming from all associations of these three ...the wave equation of the electro-weak ...The wave equation is form invariant, ...

22

Reduced Vector Helmholtz Wave Equation Analysis on the Wave Number Side

Reduced Vector Helmholtz Wave Equation Analysis on the Wave Number Side

... of wave-number space, k ∈  ...vector wave equation, with Dirichlet boundary ...EM wave equation and provide Sobolev es- timates for the ...

12

An Efficient Method to Solve Thermal Wave Equation

An Efficient Method to Solve Thermal Wave Equation

... In this research block marching in time and DQ discretization in both the spatial and temporal derivatives are applied to obtain the solution in time direction block by block for thermal wave equation. In ...

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Optimal design of boundary observers for the wave equation

Optimal design of boundary observers for the wave equation

... Let us mention [6, 7], where the authors use a spectral point of view leading to a similar optimal design problem. They investigate the problem of determining the best possible shape and position of the support of a ...

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Regularity of Global Attractors for the Kirchhoff Wave Equation

Regularity of Global Attractors for the Kirchhoff Wave Equation

... type equation with a strong dissipation and proved that the continuous semigroup S t ( ) possessed global attractors in the phase spaces with low ...Kirchhoff wave equation with strong damping and ...

11

Wave Equation Simulation Using a Compressed Modeler

Wave Equation Simulation Using a Compressed Modeler

... scale wave propagation problems are prevalent in many ...full wave simulations is becoming routine and it is only hampered by the extreme compu- tational resources ...acoustic wave equation in ...

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Bounded solutions for the nonlinear wave equation

Bounded solutions for the nonlinear wave equation

... We investigate the number of periodic weak solutions for the wave equation with nonlinearity decaying at the origin. We get a theorem which shows the existence of a bounded weak solution for this problem. ...

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The one-way wave equation: a full-waveform tool for modeling seismic body wave phenomena

The one-way wave equation: a full-waveform tool for modeling seismic body wave phenomena

... full–wave equation methods, integral–equation methods and ray–based ...the wave path lengths are not too great, then basic ray methods or more advanced ray–coupling approaches should be ...

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A New Wave Equation of the Electron

A New Wave Equation of the Electron

... relativistic wave equation [1]. He had wanted to find an equation for the electron that would be consistent with special relativity and de- scribe the known fine structure frequency spectrum of ...

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Higher Order Wave Equation with Logarithmic Source Term

Higher Order Wave Equation with Logarithmic Source Term

... By constructing an appropriate Lyapunov function, we obtain the decay estimates of energy for logarithmic Higher Order Wave equation. So, the purpose of this paper is to obtain a decay estimate of solutions ...

7

The Wave Equation and General Plane Wave Solutions in Fractional Space

The Wave Equation and General Plane Wave Solutions in Fractional Space

... vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional ...of wave ...

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A boundary value problem for the wave equation

A boundary value problem for the wave equation

... Abstract. Traditionally, boundary value problems have been studied for elliptic differ- ential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both ...

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