# Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method

Document Type: Research Paper

Authors

School of Mathematics‎, ‎Iran University of Science and Technology‎, ‎Tehran‎, ‎Iran.

Abstract

‎In this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎This problem consists of determining the temperature on the interior boundary curve from the Cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎To this end‎, ‎the boundary integral equation method is used‎. ‎Since the resulting system of linear algebraic equations is ill-posed‎, ‎the Tikhonov first-order regularization procedure is employed to obtain a stable solution‎. ‎Determination of regularization parameter is based on L-curve technique‎. ‎Some numerical examples for the feasibility of the proposed method are presented‎.

Keywords

Main Subjects

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### History

• Receive Date: 21 February 2015
• Revise Date: 13 June 2015
• Accept Date: 20 June 2015