Wavelet and error estimation of surface heat flux
type: Item
instance of: scholarly article
title: Wavelet and error estimation of surface heat flux
zbMATH Open document ID: 1019.65074
DOI: 10.1016/S0377-0427(02)00657-X
author: Chuli Fu
author: Chunyu Qiu
published in: Journal of Computational and Applied Mathematics
publication date: 2003-03-12T00:00:00Z
review text: The authors discuss the determination of the heat flux \( u_x(x,t)\) for \( 0<x<1 \) from the following problem: \[ \begin{cases} u_{xx} = u_t, \quad & x \geq 0, t>0 , \\ u(x,0) = 0, \quad ,& x \geq 0, \\ u(1,t) = g(x), \quad & t \geq 0, u|_{t \to \infty}\text{ bounded.}\end{cases} \] They present a wavelet regularization method for this ill-posed problem. An error estimate and the convergence of the regularizations approximate solution at zero are obtained.
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1880341
zbMATH Keywords: inverse heat conduction
zbMATH Keywords: heat flux
zbMATH Keywords: regularization
zbMATH Keywords: wavelet
zbMATH Keywords: ill-posed problem
zbMATH Keywords: error estimate
zbMATH Keywords: convergence
reviewed by: Zhang Wanguo
MaRDI profile type: Publication
cites work: Q3771806
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description: scientific article; zbMATH DE number 1880341