Math 314 Lecture 27: Wednesday, November 10th 1999.
Today we looked at solving the potential equation in a rectangle.
Variables separate as long as either the x or the y boundary
conditions are homogeneous, and one obtains a Fourier series solution.
When both sets of boundary conditions are non-homogeneous, one can divide
the problem into two sub-problems: one which is homogeneous in x and
one which is homogeneous in y.
These solutions were illustrated in Maple using boundary conditions which are
triangular on the edges of the rectangle.
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Revised 29 November 1999 by
John Hebron.