Here is a typical steady-state heat
ow problem. Consider a thin steel plate to be a
10 20 (cm)2 rectangle. If one side of the 10 cm edge is held at 1000C and the other
three edges are held at 00C, what are the steady-state temperature at interior points?
We can state the problem mathematically in this way if we assume that heat
only in the x and y directions:
Find u(x; y) (temperature) such that