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ABSTRACT
A Fictitious Time Integration Method to Identify Time-Space-Dependent Heat Transfer Coefficient
The International Conference on Computational & Experimental Engineering and Sciences 2011, 16(2), 53-54. https://doi.org/10.3970/icces.2011.016.053
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We consider an inverse problem for identifying a time-space-dependent heat transfer coefficient h(x,t) in a two-dimensional heat conduction equation, with the aid of an extra measurement of temperature at the top side of a rectangular plate. Finite differences are used to discretize the governing equation and boundary conditions of Neumann type, and then the Fictitious Time Integration Method (FTIM) is used to solve a large scale linear system of unknown variables. The numerical results show that the FTIM is effective and robust against noise.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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