Lecture Information

This page will be used to give links to additional material for the course. Most material will come directly from the text:

Applied Partial Differential Equations by Richard Haberman

Lecture Note Supplements

Chapter 2: Programming Supplement

A class demonstration of Maple and MatLab is given for the one-dimensional heat equation. Links are provided for a Maple Worksheet and a MatLab M-file for the Heat Equation in one-dimension.

Chapter 3: Programming Supplement

A class demonstration of a Fourier series is given. A link is provided for a MatLab M-file for this Fourier series.

Chapter 5: Programming Supplement

Finding eigenvalues for boundary conditions of the third kind . A link is provided for a Maple file to show how to numerically find eigenvalues of this transcendental equation.

Chapter 7: Programming Supplement

Visualizing vibrating rectangular membranes, we have a link for a Maple file (rect_memb.mws). Also, solutions to Bessel's differential equation are provided using Maple (bessel.mws). Solutions to Legendre's differential equation are provided using Maple (legendre.mws).

Below are some MatLab codes and pictures from PDEs provided by Ricardo Carretero.

Matlab:

• A practical introduction to Matlab (HTML, PostScript)
• Matlab Help

Maple:

• Maple Workshop notes

Lectures:

Heat equation in 1D: heat.m.

PDE integrator in 1D: PDE_integrator.m, wave_plotsurf.m.

Normal modes of wave equation: vibrate.m


Solutions to the linear wave equation: wave_eq.m.



D'Alambert solutions to the linear wave equation: ugauss_utzero.m.


Bessel modes: bessel_modes.m, besselzero.m.

• Vibrational modes of a circular membrane: membrane.mws