A numerical solution for an inverse heat conduction problem

Document Type : Research Article


1 Department of Mathematics, Iran University of Science and Technology Narmak, Tehran-16, Iran

2 Faculty of Science, K.N. Toosi University of Technology, Tehran, Iran


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.


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