A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem

Zhi-Liang Deng and Xiao-Mei Yang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We propose a numerical reconstruction method for solving a time‐fractional backward heat conduction problem. Based on the idea of reproducing kernel approximation, we reconstruct the unknown initial heat distribution from a finite set of scattered measurements of transient temperature at a fixed final time. The standard Tikhonov regularization technique using the norm of reproducing the kernel Hilbert space as the penalty term is adopted to provide a stable solution when the measurement data contains noise. Numerical results indicate that the proposed method is efficient.

Date: 2014
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https://doi.org/10.1155/2014/964373

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:964373

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