Solution of the inverse heat conduction problem by using the ABC algorithm

Abstract

In this paper, a numerical method of solving the inverse heat conduction problem based on the respectively new tool for combinational optimization, named the Artificial Bee Colony algorithm (ABC), is presented. In the first step, the direct heat conduction problem, associated to the considered inverse heat conduction problem, is solved by using the finite difference method. In the second step, the proper functional, based on the least squares method, is minimized by using the ABC algorithm, giving the solution of the considered problem. An example illustrating the precision and effectiveness of the method is also shown. The proposed approach is original and promising. © 2010 Springer-Verlag Berlin Heidelberg.