A numerical solution for an inverse heat conduction problem

Abstract

In this paper, we demonstrate the existence and uniqueness a semianalytical 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.

Keywords

• inverse heat conduction problem
• semi-analytical solution
• finite difference method