Semidiscrete central difference method in time for determining surface temperatures

Autor: Zhi Qian, Chu-Li Fu, Xiang-Tuan Xiong
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 3, Pp 393-400 (2005)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/IJMMS.2005.393
Popis: 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.
Databáze: Directory of Open Access Journals
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