wave equation

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a differential equation that describes the passage of harmonic waves through a medium

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References in periodicals archive ?
In this study, FWISIMAT is developed in both time and frequency domain based on acoustic wave equation. The frequency-domain inversion approach is equivalent to the time-domain inversion approach if all of the frequency data components are used in the inversion process (Hu et al., 2009).
Indeed, the enforcement of the wave equation for the electric field in conjunction with the divergence-free condition, may enter in conflict with boundary conditions in a very wide range of circumstances.
and then the scalar wave equation in terms of u can be expressed by
This paper is designated to apply the CIP-MOC [9] to the solution of tide wave equations which are based on shallow water equations and include source terms of bottom topography and friction.
In Section 3, the potential energy and derivations of the wave equations of power-law materials are outlined.
In conclusion, the improved generalized tanh-coth method is proposed to obtain more general exact solutions of the sixth-order solitary wave equations. It can be observed that the method used is a powerful and more general tool for finding the exact solutions.
One of the major roles of nonlinear partial differential equations is the study of nonlinear wave equations. For example, the Benjamin-Bona-Mahony equation is a nonlinear wave equation, which is also known as the regularized long wave equations (RLWE).
Kadri and Akylas derived a new wave equation that includes both compressibility and gravity.
We will see a similar behavior in the STCED wave equations below.
This comprehensive encyclopedia describes the mathematics used for all sorts of scientific, engineering and social purposes, from algorithms and Benford's law to voting systems and wave equations. Princeton Univ., $99.50
To the best of our knowledge, no existing work presents DGM formulations for the time-harmonic electromagnetic vector wave equations with both electric and magnetic sources and locally varying constitutive parameters.
He, Application of homotopy perturbation method to nonlinear wave equations, Chaos, Soliton.
By using the results of the above lemmas and the basic theory of the singular nonlinear traveling wave equations [22], we obtain the dynamical behavior of the traveling wave solutions of (1) as follows.
This paper gives a brief overview about modified wave equations, which are derived for bringing the models closer to reality.