Fourier Series via Sturm-Liouville Equations

This is an evaluated Mathematica notebook. Since the notebook is intended to be interactive, it may be helpful to also view the unevaluated version


Copyright 1996
Gary S. Stoudt
Mathematics Department
Indiana University of PA
Indiana, PA 15705
GSSTOUDT@grove.iup.edu

It is assumed that you are acquainted with the Sturm-Liouville theory that we developed earlier.

In[1]:=

  <<Calculus`DiracDelta`

This allows us to use Dirac delta functions and Heaviside (step) functions.

Make sure you look at the notebook evenodd.ma before looking at this notebook.

A Special S-L Equation

Eigenfunction Expansions

Periodic Extensions

Even and Odd Periodic Extensions

Fourier Series Examples

Half-Period Fourier Series

Go up to Calculus and Differential Equations Project Description