Math 314 Lecture 28: Friday, November 12th 1999.
Today we looked at solving the potential equation in a semi-infinite
slot. In order to separate variables, we had to divide the problem into
two sub-problems: one which is homogeneous in x and one which is
homogeneous in y. In the x-variable (the finite width) we got a
Fourier series and in the y-variable (the semi-infinite length) we got a
Fourier integral.
As an example, one of the exercies in the textbook was worked out. The
resulting Fourier integral was then numerically
integrated and plotted in Maple.
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Revised 29 November 1999 by
John Hebron.