Mathematical Methods in the Physical Sciences · Problem 3.8

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · heat-flow-bar-one-end-heated

Problem

A bar of length 2 is initially at

0^\circ

. From

t = 0

on, the

x = 0

end is held at

0^\circ

and the

x = 2

end at

100^\circ

. Find the time-dependent temperature distribution.