We investigate the inverse problem in the heat equation involving the recovery of the initial temperature from measurements of the final temperature. This problem is extremely ill-posed and it is believed that only information in the first few modes can be recovered by classical methods. We will consider this problem with a regularizing parameter which approximates and regularizes the heat conduction model.
Investigation of the Initial Inverse Problem in the Heat Equation
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division May 15, 2002; revision received August 14, 2003. Associate Editor: A. F. Emery.
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Masood , K., and Zaman , F. D. (May 4, 2004). "Investigation of the Initial Inverse Problem in the Heat Equation ." ASME. J. Heat Transfer. April 2004; 126(2): 294–296. https://doi.org/10.1115/1.1666886
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