# Boundary Value Problem Using Series of Bessel Functions

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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:

[more]
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.

## Permanent Citation

"Boundary Value Problem Using Series of Bessel Functions"

http://demonstrations.wolfram.com/BoundaryValueProblemUsingSeriesOfBesselFunctions/

Wolfram Demonstrations Project

Published: March 7 2011