Vibrating Circular Membrane

The Bessel function of the first kind, (Subscript[J, n])(z), can be used to model the motion of a vibrating membrane. For example, a drum. (Subscript[J, n])(z) is the solution of the Bessel differential equation (x^2)(((d^2)y)/(d (x^2)))+x((d y)/(d x))+((x^2)-(n^2))y=0 that is nonsingular at the origin.

THINGS TO TRY

MouseOver ▪ MouseOver

RELATED LINKS

Contributed by: Sam Blake

© The Wolfram Demonstrations Project & Contributors   |   Terms of Use