Semidiscrete central difference method in time for determining surface temperatures

Zhi Qian, Chu-Li Fu and Xiang-Tuan Xiong

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

We consider an inverse heat conduction problem (IHCP) in a quarter plane. We want to know the distribution of surface temperature in a body from a measured temperature history at a fixed location inside the body. This is a severely ill-posed problem in the sense that the solution (if exists) does not depend continuously on the data. Eldén (1995) has used a difference method for solving this problem, but he did not obtain the convergence at x = 0 . In this paper, we gave a logarithmic stability of the approximation solution at x = 0 under a stronger a priori assumption ‖ u ( 0 , t ) ‖ p ≤ E with p > 1 / 2 . A numerical example shows that the computational effect of this method is satisfactory.

Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2005/862939.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2005/862939.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:862939

DOI: 10.1155/IJMMS.2005.393

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().