Higher-dimensional PDE: Vibrating circular membranes and Bessel functions. - Maple Application Center
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Higher-dimensional PDE: Vibrating circular membranes and Bessel functions.

Author
: Anton Dzhamay
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In this worksheet we consider some examples of vibrating circular membranes. Such membranes are described by the two-dimensional wave equation. Circular geometry requires the use of polar coordinates, which in turn leads to the Bessel ODE , and so the basic solutions obtained by the method of separations of variables (product solutions or standing waves) are described with the help of Bessel functions .

Application Details

Publish Date: August 17, 2004
Created In: Maple 9
Language: English

Tags

pde

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