ویراساینس.
مقاله

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

m‎. ‎ garshasbi, school of mathematics‎, ‎iran university of science and technology‎, ‎tehran‎, ‎iran. f. ‎hassani, school of mathematics‎, ‎iran university of science and technology‎, ‎tehran‎, ‎iran.

چکیده

‎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.

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