A modified method for a backward heat conduction problem
type: Item
instance of: scholarly article
title: A modified method for a backward heat conduction problem
zbMATH Open document ID: 1112.65090
author: Zhi Qian
author: Chuli Fu
author: Rui Shi
published in: Applied Mathematics and Computation
publication date: 2007-03-12T00:00:00Z
review text: The authors introduce a new method to consider the ill-posed problem of the backward heat conduction. Several theorems for convergence and error analysis are developed, unfortunately, asymptotic error estimate could not be proved. The developed method is illustrated by numercal experiments.
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 5132945
zbMATH Keywords: backward heat conduction
zbMATH Keywords: regularization
zbMATH Keywords: ill posed problem
zbMATH Keywords: convergence
zbMATH Keywords: error analysis
zbMATH Keywords: numerical experiments
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
full work available at URL: j.amc.2006.07.055
OpenAlex ID: W2075586231
cites work: A mollification method for ill-posed problems
cites work: Q4056957
cites work: The boundary element method for the solution of the backward heat conduction equation
cites work: An iterative boundary element method for solving the one-dimensional backward heat conduction problem
cites work: Group preserving scheme for backward heat conduction problems
cites work: Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
cites work: Stability of the solution of backward heat equation on a weak compactum
cites work: A stability estimate on the regularized solution of the backward heat equation.
cites work: Approximations for a Cauchy problem for the heat equation
cites work: On a theory of heat conduction involving two temperature
cites work: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
cites work: An approximation theorem for functionals, with applications in continuum mechanics
DOI: 10.1016/J.AMC.2006.07.055
description: scientific article; zbMATH DE number 5132945