WOLFRAM|DEMONSTRATIONS PROJECT

Solutions of the Elliptic Membrane Problem

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b
FE`b$$3606726506103013525072224143396290971445
m
1
n
4
type
even
odd
plot
2D
3D
The problem of the free oscillations of an elliptic membrane was studied by Mathieu in 1868. The membrane is anchored to the perimeter of the ellipse. Mathieu functions can appear in problems with elliptical geometry and in certain periodic phenomena.