Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759724 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 6 Pages |
Abstract
In this paper, we consider an inverse heat conduction problem (IHCP). A set of temperature measurements at a single sensor location inside the heat conduction body is required. Using a transformation, the ill-posed IHCP becomes a Cauchy problem. Since the solution of Cauchy problem, exists and is unique but not always stable, the ill-posed problem is closely approximated by a well-posed problem. For this new well-posed problem, the existence, uniqueness, and stability of the solution are proved.
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Mechanical Engineering
Authors
R. Pourgholi, N. Azizi, Y.S. Gasimov, F. Aliev, H.K. Khalafi,