# Boundary Value Problem Using Series of Bessel Functions

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This Demonstration solves a Bessel equation problem of the first kind. The equation is for a thin elastic circular membrane and is governed by the partial differential equation in polar coordinates:

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Contributed by: Stephen Wilkerson (March 2011)

(United States Military Academy West Point, Department of Mathematics)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This example comes from [1], and the discussions given in Chapter 8.7 on series solutions and Bessel's equation. Also see Chapter 10.5.

Reference

[1] J. R. Brannan and W. E. Boyce, *Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications*, New York: John Wiley and Sons, 2010.

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