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• W2012207366 abstract "In this article, we propose a new numerical method for determining a moving boundary from Cauchy data in a one-dimensional heat equation where an initial temperature is not required. The numerical scheme is based on the use of fundamental solutions of the heat equation as basis functions. In order to regularize the ill-conditioned linear system of equations resulting by collocating boundary data, we successfully apply the Tikhonov regularization with the generalized cross-validation parameter choice rule to obtain a stable numerical approximation to the moving boundary. The uniqueness of the moving boundary is also proved under some assumptions." @default.
• W2012207366 created "2016-06-24" @default.
• W2012207366 creator A5085753115 @default.
• W2012207366 creator A5087391907 @default.
• W2012207366 date "2009-01-01" @default.
• W2012207366 modified "2023-10-02" @default.
• W2012207366 title "Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation" @default.
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• W2012207366 doi "https://doi.org/10.1080/17415970802231610" @default.
• W2012207366 hasPublicationYear "2009" @default.
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