A numerical solution for an inverse heat conduction problem

In this paper, we demonstrate the existence and uniqueness a semi- analytical solution of an inverse heat conduction problem (IHCP) in the form : ut = uxx in the domain D = {(x,t)| 0 < x < 1, 0 < t < T}, u(x,T) = f (x), u(0,t) = g(t), and ux(0,t) = p(t), for any 0 < t < T. Some numerical experiments are given in the final section.