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This article shows how we have used the Maple computer algebra system to solve a classical problem in mathematical physics-that of analyzing sound-wave propagation in spherical cavities using the Fourier method to solve the wave equation. Our approach lets users easily generate and visualize solutions starting from various initial conditions for this conceptually difficult problem. To illustrate our approach, we perform a careful analysis of the propagation and reflection of spherically symmetrical sound waves for a specific initial condition.

J. Vanderkooy, S. P. Lipshitz and R. Portugal, "Using Computer Algebra to Explore Sound-Wave Propagation in Spherical Cavities," in Computing in Science & Engineering, vol. 2, no. , pp. 84-94, 2000.
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