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Traveling-Wave Solution

One-dimensional lossless wave equation:

$\displaystyle Ky''= \epsilon {\ddot y}
$

Plug in traveling wave to the right:

\begin{eqnarray*}
y(t,x) &=& y_r(t-x/c) \\
& & \\
\Rightarrow \quad
y'(t,x) &...
...\dot y}(t,x) \\
y''(t,x) &=& \;\;\;\frac{1}{c^2}{\ddot y}(t,x)
\end{eqnarray*}



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``Distributed Modeling in Discrete Time'', by Julius O. Smith III and Nelson Lee,
REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .
Released 2008-06-05 under the Creative Commons License (Attribution 2.5), by Julius O. Smith III and Nelson Lee
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA