Study on Reconstruction of Heat Flux in Moving Boundary

DOI

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.

Copyright

© 2012, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/citcs.2012.203
ID  - Wu2012/11
ER  -