Waveform inversion is the method of choice for determining a highly heterogeneous subsurface structure. However, conventional waveform inversion requires that the wavefield for each source is computed separately. This makes ...

We build an integral representation of solutions of the wave equation as a superposition of other solutions. Investigations are based on continuous shearlet transforms in higher dimensions. We construct a new shearlet which helps us form a class...

In this paper, we apply parseval shearlet frames to solve the wave equation. To this end, using the

Plancherel’s theorem, we calculate the shearlet coe

ffi

cients....

‎In this paper‎, ‎we consider the numerical solution of a fractional partial differential equation with Riesz space fractional derivatives -FPDE-RSFD- on a finite domain‎. ‎One of these equations is cosidered‎: ‎the Riesz fractional wave equation...

In this paper, the radial Schrödinger equation for central Coulomb potential using numerical Runge-Kutta has been solved. Energy eigenvalues for hydrogen and positronium bound systems is derived - 13.6056 eV and – 6.803 ...

number of commonly used special functions to obtain a new Laplace transformation in two and N-dimensions. Finally, several one-dimensional wave equations involving special functions are explicitly solved by using two-dimensional Laplace transformations...

Numerical Simulation of three dimensional wave equation is conducted in

a cubic domain which contains two parts, part A and part B. Part A of the

domain is a I -shaped empty channel, containing air, and part B, containing a...

To obtain a control function which puts the wave equation in an unknown minimum time into a stationary regime is considered is considered. Using an embedding method, the problem of ¯nding the time optimal control is reduced to one consisting...