# Heat Transfer along a Rod

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 shows the solution to the heat equation for a one-dimensional rod. The rod is initially submerged in a bath at 100 degrees and is perfectly insulated except at the ends, which are then held at 0 degrees. This is a a Sturm–Liouville boundary value problem for the one-dimensional heat equation

[more]
Contributed by: Stephen Wilkerson (April 2011)

(Department of Mathematical Sciences at the United States Military Academy, West Point, NY)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

References:

[1] R. Haberman, *Applied Partial Differential Equations with Fourier Series and Boundary Value Problems,* 4th ed., Saddle River, NJ: Prentice Hall, 2003.

[2] 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