A discretized Tikhonov regularization method for a fractional backward heat conduction problem
type: Item
instance of: scholarly article
title: A discretized Tikhonov regularization method for a fractional backward heat conduction problem
zbMATH Open document ID: 1474.65330
DOI: 10.1155/2014/964373
author: Zhi-Liang Deng
author: Xiao-Mei Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7023413
Wikidata QID: Q59043173
describes a project that uses: Mittag-Leffler
describes a project that uses: mlf
describes a project that uses: Regularization tools
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/964373
OpenAlex ID: W2161618617
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description: scientific article; zbMATH DE number 7023413