A Mollification Regularization Method for a Fractional-Diffusion Inverse Heat Conduction Problem

Zhi-Liang Deng, Xiao-Mei Yang and Xiao-Li Feng

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

The ill-posed problem of attempting to recover the temperature functions from one measured transient data temperature at some interior point of a one-dimensional semi-infinite conductor when the governing linear diffusion equation is of fractional type is discussed. A simple regularization method based on Dirichlet kernel mollification techniques is introduced. We also propose a priori and a posteriori parameter choice rules and get the corresponding error estimate between the exact solution and its regularized approximation. Moreover, a numerical example is provided to verify our theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:109340

DOI: 10.1155/2013/109340

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