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Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space
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@Article{JPDE-28-315,
author = {Xiong , Xiangtuan and Li , Jinmei},
title = {Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space},
journal = {Journal of Partial Differential Equations},
year = {2015},
volume = {28},
number = {4},
pages = {315--331},
abstract = { In this paper we consider a semi-descretization difference scheme for solving a Cauchy problem of heat equation in two-dimensional setting. Some error estimates are proved for the semi-descretization difference regularization method which cannot be fitted into the framework of regularization theory presented by Engl, Hanke and Neubauer. Numerical results show that the proposed method works well.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v28.n4.3},
url = {http://global-sci.org/intro/article_detail/jpde/5119.html}
}
TY - JOUR
T1 - Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space
AU - Xiong , Xiangtuan
AU - Li , Jinmei
JO - Journal of Partial Differential Equations
VL - 4
SP - 315
EP - 331
PY - 2015
DA - 2015/12
SN - 28
DO - http://doi.org/10.4208/jpde.v28.n4.3
UR - https://global-sci.org/intro/article_detail/jpde/5119.html
KW - 2D inverse heat conduction problem
KW - Ill-posedness
KW - regularization
KW - error estimate
KW - finite difference
AB - In this paper we consider a semi-descretization difference scheme for solving a Cauchy problem of heat equation in two-dimensional setting. Some error estimates are proved for the semi-descretization difference regularization method which cannot be fitted into the framework of regularization theory presented by Engl, Hanke and Neubauer. Numerical results show that the proposed method works well.
Xiong , Xiangtuan and Li , Jinmei. (2015). Semi-discretization Difference Approximation for a Cauchy Problem of Heat Equation in Two-dimensional Space.
Journal of Partial Differential Equations. 28 (4).
315-331.
doi:10.4208/jpde.v28.n4.3
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