Chapter 11. The temperature in the upper half plane where
T(x,0) = -100 for -1 < x < 0,
T(x,0) = 100 for 0 < x < 1.

Solution. Use the mapping .

The temperature function is:

A graph for the solution is:

Temperature in a half plane, insulated along the segments x < -1, y = 0 and 1 < x, y = 0.

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(c) John Mathews, 1998, 2006