Fourier solution of the wave equation for a star‐like‐shaped vibrating membrane

Fourier solution of the wave equation for a star‐like‐shaped vibrating membrane

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Article ID: iaor20122352
Volume: 59
Issue: 1
Start Page Number: 176
End Page Number: 184
Publication Date: Jan 2010
Journal: Computers and Mathematics with Applications
Authors: , ,
Keywords: modelling
Abstract:

The Fourier solution of the wave equation for a circular vibrating membrane is generalized to a star‐like‐shaped structure. We show that the classical solution can be used in this more general case, provided that a suitable change of variables in the spherical co‐ordinate system is performed.

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