### ASA 128th Meeting - Austin, Texas - 1994 Nov 28 .. Dec 02

## 5pUW13. The acoustic wave equation as a finite difference.

**Michael L. Oelze
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*Dept. of Phys., Harding Univ., 900 East Ctr., Searcy, AR 72149-0001
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The classical wave equation used to describe acoustic phenomena was
converted to a finite difference equation. This was done by constraining a
sound packet to be in a box of finite length. By using certain mathematical
techniques, recursion relations were found which enabled the amplitude of sound
to be measured at every point in the box. This form of the equation is useful
in modeling certain acoustic phenomena. The finite difference equation is
especially useful in calculating wave reflection/transmission phenomena. The
classical way of calculating reflection/transmission was by calculating a
separate wave for each reflected or transmitted wave. The finite difference
equation method cancels the need for many different waves and encompasses all
interference from these waves.