A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data
type: Item
instance of: scholarly article
title: A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data
zbMATH Open document ID: 1194.80106
author: Chein-Shan Liu
published in: International Journal of Heat and Mass Transfer
publication date: 2010-09-10T00:00:00Z
full work available at URL: 197.pdf
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 80M25
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 5782334
zbMATH Keywords: inverse problem
zbMATH Keywords: backward heat conduction problem
zbMATH Keywords: Lie-group shooting method
zbMATH Keywords: strongly ill-posed problem
zbMATH Keywords: noisy data
MaRDI profile type: Publication
OpenAlex ID: W2088655188
cites work: Cone of non-linear dynamical system and group preserving schemes
cites work: Nonstandard Group-Preserving Schemes for Very Stiff Ordinary Differential Equations
cites work: Preserving Constraints of Differential Equations by Numerical Methods Based on Integrating Factors
cites work: The method of fundamental solutions for the backward heat conduction problem
cites work: Group preserving scheme for backward heat conduction problems
cites work: Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems
cites work: A new shooting method for quasi-boundary regularization of backward heat conduction problems
cites work: An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature
cites work: A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
cites work: A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSM
cites work: A group preserving scheme for inverse heat conduction problems
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: A comparison of some inverse methods for estimating the initial condition of the heat equation
cites work: Entropy- and Tikhonov-based regularization techniques applied to the backwards heat equation
cites work: Solution of inverse diffusion problems by operator-splitting methods
cites work: A modified method for a backward heat conduction problem
cites work: Fourier regularization for a backward heat equation
cites work: ON THREE SPECTRAL REGULARIZATION METHODS FOR A BACKWARD HEAT CONDUCTION PROBLEM
cites work: A New Method for Fredholm Integral Equations of 1D Backward Heat Conduction Problems
cites work: Two numerical methods for solving a backward heat conduction problem
cites work: Q4320850
cites work: A comparison of regularizations for an ill-posed problem
cites work: Q3117523
cites work: Q5505166
cites work: Q5505165
DOI: 10.1016/J.IJHEATMASSTRANSFER.2010.05.036
description: scientific article; zbMATH DE number 5782334