Wavelets for the Wave Equation
نویسنده
چکیده
16 [16] S. Mallat Multiresolution approximation and wavelet orthonormal bases of L 2 (R) Transactions of AMS. vol 135 (1989) [17] K.J. Marfurt Accuracy of nite-dierence and nite-element modeling of the scalar wave equation. [21] V. Perrier & C. Basdevant La d ecomposition en ondelettes p eriodiques, un outil pour l'analyse de champs inhomog enes. Th eorie et algorithmes. La Recherche A erospatiale. vol 3 (1989) [22] E. Priolo, J.M. Carcione & G. Seriani Numerical simulation of interface waves by high-order spectral modeling techniques. Journal of the Acoustical Society of America vol 95.2 (1994) [23] E. Tessmer 3-D seismic modelling of general material anisotropy in the presence of the free surface by a Chebyshev spectral method. Geophysical Journal International vol 121 (1995) [24] J. Virieux P-SV wave propagation in heterogeneous media : velocity-stress nite-dierence method.
منابع مشابه
NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS
In this paper, we use the continuous Legendre wavelets on the interval [0,1] constructed by Razzaghi M. and Yousefi S. [6] to solve the linear second kind integral equations. We use quadrature formula for the calculation of the products of any functions, which are required in the approximation for the integral equations. Then we reduced the integral equation to the solution of linear algebraic ...
متن کاملNumerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets
In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the Chebyshev wavelets to solve the integral equation. Numerical implementation of the method is illustrated by two ben...
متن کاملWavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
This paper describes and compares application of wavelet basis and Block-Pulse functions (BPFs) for solving fractional integro-differential equation (FIDE) with a weakly singular kernel. First, a collocation method based on Haar wavelets (HW), Legendre wavelet (LW), Chebyshev wavelets (CHW), second kind Chebyshev wavelets (SKCHW), Cos and Sin wavelets (CASW) and BPFs are presented f...
متن کاملLegendre wavelets method for numerical solution of time-fractional heat equation
In this paper, we develop an efficient Legend...
متن کاملEigenwavelets of the Wave equation
Physical wavelets are localized solutions of the scalar wave equation or Maxwell’s equations, obtained by extending fundamental solutions to complex space-time in the sense of hyperfunctions. The imaginary space-time variables y, which must form a time-like vector, act as scale parameters generalizing the scale variable of wavelets in one dimension. They determine the shape of the wavelets in s...
متن کاملA wavelet method for stochastic Volterra integral equations and its application to general stock model
In this article,we present a wavelet method for solving stochastic Volterra integral equations based on Haar wavelets. First, we approximate all functions involved in the problem by Haar Wavelets then, by substituting the obtained approximations in the problem, using the It^{o} integral formula and collocation points then, the main problem changes into a system of linear or nonlinear equation w...
متن کامل