Study on Reconstruction of Heat Flux in Moving Boundary
Zhijian Wu, Jing Feng, Xueyan Zhang, Aixia Zhou
Available Online November 2012.
- https://doi.org/10.2991/citcs.2012.203How to use a DOI?
- heat equation;potential scheme; heat flux; regularization;numerics;
- 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.
- 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 -