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Distributed Example: 1-D wave equation, solution by FDA approach

Suppose we want to simulate one direction in an acoustic space in which the air is described by the second-order wave equation

$\displaystyle \zbox{\frac{\partial^{2} u}{\partial^{2} t}=c^{2}\frac{\partial^{2} u}{\partial^{2} x}}
$

where $ u(x,t)$ is particle velocity of the air relative to equilibrium.

Let's ``digitize'' this wave equation to create a finite difference scheme (FDS).



Subsections
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Download NumericalInt.pdf
Download NumericalInt_2up.pdf
Download NumericalInt_4up.pdf

``Discrete-Time Lumped Models'', by Stefan Bilbao and Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Stefan Bilbao and Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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