- #1

Aows

## Homework Statement

Solve the following heat Eq. using FFCT:

A metal bar of length L is at constant temperature of Uo, at t=0 the end x=L is suddenly given the constant temperature U1, and the end x=0 is insulated. Assuming that the surface of the bar is insulated, find the temperature at any point x of the bar at any time t>0, assume thermal diffusivity coefficient (k) =1

## Homework Equations

heat equation: dˆ2U/dxˆ2=(1/k) dU/dt

FFCT equation of derivative:

F (dˆ2U/dxˆ2)= -( n*pi/b)ˆ2 *F(n,t)+(-1)ˆn * (ux(b,t)-ux(0,t)

## The Attempt at a Solution

my attempt has many mistake at the start of transforming.