Math 314 Lecture 33: Wednesday, November 24th 1999.

Using the method of Frobenius, a series solution to Bessel's Equation was obtianed, leading us to a definition of the Bessel J Functions. Various properties of Bessel Functions were discussed, including the general shapes, the zeros, and formulas for integrating and differentiating. These properties were illustrated in Maple.

A simple application Bessel Functions was demonstrated by solving the radial heat equation in a cylinder. This solution was then animated in Maple, using a 3-Dimensional animation.


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Revised 30 November 1999 by John Hebron.