A revised Tikhonov regularization method for a Cauchy problem of two-dimensional heat conduction equation
type: Item
instance of: scholarly article
title: A revised Tikhonov regularization method for a Cauchy problem of two-dimensional heat conduction equation
zbMATH Open document ID: 1427.65223
DOI: 10.1155/2018/1216357
author: Songshu Liu
author: Lixin Feng
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In this paper we investigate a Cauchy problem of two-dimensional (2D) heat conduction equation, which determines the internal surface temperature distribution from measured data at the fixed location. In general, this problem is ill-posed in the sense of Hadamard. We propose a revised Tikhonov regularization method to deal with this ill-posed problem and obtain the convergence estimate between the approximate solution and the exact one by choosing a suitable regularization parameter. A numerical example shows that the proposed method works well.
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 7018458
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1216357
OpenAlex ID: W2804449949
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Wikidata QID: Q129748417
description: scientific article; zbMATH DE number 7018458