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

✍ Scribed by Diego Caratelli; Pierpaolo Natalini; Paolo E. Ricci

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 984 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.07.060

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✦ Synopsis

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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