Proceedings of the 2012 National Conference on Information Technology and Computer Science

Study on Reconstruction of Heat Flux in Moving Boundary

Authors
Zhijian Wu, Jing Feng, Xueyan Zhang, Aixia Zhou
Corresponding Author
Zhijian Wu
Available Online November 2012.
DOI
https://doi.org/10.2991/citcs.2012.203How to use a DOI?
Keywords
heat equation;potential scheme; heat flux; regularization;numerics;
Abstract
The initial boundary value problem for parabolic equation with Neumann boundary condition is a kind of classical problem in partial differential equations. In this paper,we consider a heat inverse problem with moving boundary. By introducing a density function for potential method, thisproblem is essentially converted into solving an integral equation of the first kind with respect to the density function,which can be solved by the Tikhonov regularizing method. Model function method is used to determine the regularizing parameter. Numerical results are presented to support our inversion schemes.
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Proceedings
2012 National Conference on Information Technology and Computer Science
Part of series
Advances in Intelligent Systems Research
Publication Date
November 2012
ISBN
978-94-91216-39-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/citcs.2012.203How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Zhijian Wu
AU  - Jing Feng
AU  - Xueyan Zhang
AU  - Aixia Zhou
PY  - 2012/11
DA  - 2012/11
TI  - Study on Reconstruction of Heat Flux in Moving Boundary
BT  - 2012 National Conference on Information Technology and Computer Science
PB  - Atlantis Press
SP  - 800
EP  - 803
SN  - 1951-6851
UR  - https://doi.org/10.2991/citcs.2012.203
DO  - https://doi.org/10.2991/citcs.2012.203
ID  - Wu2012/11
ER  -