Mathematical Methods in the Physical Sciences · Problem 3.3

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · heat-flow-bar-swapped-bc

Problem

In the initial steady state of an infinite slab of thickness

l

, the face

x = 0

is at

0^\circ

and the face

x = l

is at

100^\circ

. From

t = 0

on, the

x = 0

face is held at

100^\circ

and the

x = l

face at

0^\circ

. Find the temperature distribution at time

t