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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.
Xiangtuan Xiong & Jinmei Li. (2019). 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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