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In the paper a solution of the inverse heat conduction problem with the  Neumann boundary condition is presented. For finding this solution the  homotopy perturbation method is applied. Investigated problem consists in  calculation of the temperature distribution in considered domain, as well as  in reconstruction of the functions describing the temperature and the heat  flux on the boundary, in case when the temperature measurements in some  points of the domain are known. An example confirming usefulness of the  homotopy perturbation method for solving problems of this kind are also  included

Solution of the inverse heat conduction problem with Neumann boundary condition by using the homotopy perturbation method