THERMAL SCIENCE

International Scientific Journal

Edyta Hetmaniok

,

Iwona Nowak

,

Damian Słota

,

Roman Wituła

,

Adam Zielonka

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 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.
KEYWORDS
heat transfer, inverse problem, homotopy perturbation method
PAPER SUBMITTED: 2012-08-26
PAPER REVISED: 2013-01-08
PAPER ACCEPTED: 2013-04-24
PUBLISHED ONLINE: 2013-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI120826051H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [643 - 650]
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Solution of the inverse heat conduction problem with Neumann boundary condition by using the homotopy perturbation method

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