Sentence examples for by the wave equation from inspiring English sources

The bar whose dynamics are described by the wave equation is required to perform a rest-to-rest maneuver.

A finite-difference spatial discretization scheme that preserves the port-Hamiltonian structure of infinite dimensional systems governed by the wave equation is proposed.

The acoustic pressure in the fluid medium is determined by the wave equation.

Inside the channel, the movement of gas was described by the wave equation and outside by the diffusion one.

The interaction among electron beams, background thermal plasma and optical field is described by the wave equation as follows: left( {{{partial^{2} } mathord{left/ {vphantom {{partial^{2} } {partial z^{2} }}} right. kern-0pt} {partial z^{2} }} - (1/c^{2} ){{partial^{2} } mathord{left/ {vphantom {{partial^{2} } {partial t^{2} }}} right.

By solving the wave equation developed by Erwin Schrödinger in 1926, a physicist can calculate the chance of finding the electron at any given point in space.Those quantum technologies developed to date, such as the transistor, the laser and the light-emitting diode, exploit the wave-like nature of the electron.

We develop a novel high-order multiscale finite-element method to reduce the computational cost of time-domain acoustic-wave equation numerical modeling by solving the wave equation on a coarse mesh based on the multiscale finite-element theory.

In the present work, an attempt has been made to predict the cavitational activity in terms of pressure field distribution by solving the wave equation in two different geometries of sonochemical reactors.

This is accomplished by transforming the wave equation to a Hamiltonian system and then using a transfer matrix approach for solving the Hamiltonian system.

We have tested the method by integrating the wave equation on a rotating grid, where it remains stable even when the grid speed at the edge is 15 times the wave speed.

It is shown that the vibrations of beams and plates may be analyzed in the frequency domain by using the wave equation, rather than the conventional differential equations of motion, provided that certain assumptions are made regarding the response of the system in the vicinity of a structural discontinuity.