Math 314 Lecture 31: Friday, November 19th 1999.

We continued with our discussion of the 3-D heat equation and considered the various types of boundary conditions which one may encounter.

The we focused on solving the 2-D heat equation in a rectangle. Separation of variables was applied twice, and we ended up with a double Fourier series solution involving the sum over two indices.

A simple example was then summed, plotted, and animated as a 3-D animation in Maple. This involved an initial condition of f(x,y) = xy, and boundary conditions of zero temperature.


SFU / Math & Stats / ~hebron / math314 / lec_notes / lec31.html

Revised 30 November 1999 by John Hebron.