Identification of a moving boundary for a heat conduction problem in a multilayer medium |
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Authors: | Y S Li T Wei |
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Institution: | (1) School of Mathematics and Statistics, Lanzhou University, Lanzhou, China |
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Abstract: | In this paper, we give a uniqueness theorem for the moving boundary of a heat problem in a composite medium. Through solving
the Cauchy problem of heat equation in each subdomain, we finally find an approximation to the moving boundary for one-dimensional
heat conduction problem in a multilayer medium. The numerical scheme is based on the use of the method of fundamental solutions
and a discrete Tikhonov regularization technique with the generalized cross-validation choice rule for a regularization parameter.
Numerical experiments for five examples show that our proposed method is effective and stable. |
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Keywords: | |
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