SOLUTION OF THE INVERSE HEAT CONDUCTION PROBLEM WITH NEUMANN BOUNDARY CONDITION BY USING THE HOMOTOPY PERTURBATION METHOD

Abstract

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 measure- ments 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.

Keywords

Dates

  • Submission Date2012-08-26
  • Revision Date2013-01-08
  • Acceptance Date2013-04-24
  • Online Date2013-06-01

DOI Reference

10.2298/TSCI120826051H

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Volume 17, Issue 3, Pages643 -650