Modelling with finite difference approximations to the wave-equation

John C. Bancroft

ABSTRACT

Analyzing waves on a string is informative relative to the properties of various solutions to the wave-equation, and to the parameters used in finite difference approximations to those solutions. In addition, insight may be gained to various problems such as estimating the reflection coefficients from the cross-correlation imaging conditions.

Solutions are compared for a constant and variable velocity solution to the wave equations. The cross correlation imaging condition for various methods of wave-propagation is also evaluated.

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