Determining surface temperature and heat flux by a wavelet dual least squares method
type: Item
instance of: scholarly article
title: Determining surface temperature and heat flux by a wavelet dual least squares method
zbMATH Open document ID: 1113.65096
author: Xiangtuan Xiong
author: Chuli Fu
published in: Journal of Computational and Applied Mathematics
publication date: 2007-03-08T00:00:00Z
review text: The paper is devoted to the development and application of a regularized method for solving the sideways heat equation, using Mayer wavelets. The main purpose of the development is to improve estimations of the surface temperature and heat flux. According to the optimality results of general regularization theory, it is concluded, that the error estimates on the surface temperature and the heat flux are order optimal. A wavelet dual least squares method is applied to a general sideways parabolic equation for determining the surface temperature and the surface heat flux. Connecting Mayer wavelet bases with a special projecting dual squares method, a regularized solution is obtained. Meanwhile, order optimal error estimates between the approximate solution and exact solution are proved.
reviewed by: Tzvetan Semerdjiev
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 5131554
zbMATH Keywords: ill-posed problems
zbMATH Keywords: dual least squares method
zbMATH Keywords: regularization
zbMATH Keywords: sideways heat equation
zbMATH Keywords: Mayer wavelets
zbMATH Keywords: error estimates
zbMATH Keywords: sideways parabolic equation
MaRDI profile type: Publication
full work available at URL: j.cam.2006.02.014
OpenAlex ID: W2127458601
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DOI: 10.1016/J.CAM.2006.02.014
description: scientific article; zbMATH DE number 5131554