Complex Analysis: Explorations with F(Z)

Complimentary software to accompany the text

Complex Analysis: for Mathematics and Engineering

Page 339, Exercise 9. The temperature in the first quadrant where
T(0,y) = -50 for 1<y,
T(x,0) = 100 for 1<x.

Solution. Use the mapping .

The temperature function is:

A graph for the solution is:

Temperature in the first quadrant, insulated on the segments.

The figures for this example were drawn using the F(Z) example file: 339P109.fzw

(c) John Mathews, 1998