ANALYSIS 3LECTURE 28.11.2019

NORMAL FORM OF SECOND ORDERLINEAR PDEs

4.5 The Heat Equation via Fourier Series

Heat is a form of energy. Let's consider a thin rod of length L that is insulated along its length.Since the rod is insulated there is no transfer of heatfrom the rod except at the two ends.We assume that the temperature at x=0 andx=L is zero and the initial temperature is given by a function f(x).AIM: to find the heat distribution of the bar at timet and position x.