文章基本信息

标题：Semidiscrete central difference method in time for determining surface temperatures
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作者：Zhi Qian ; Chu-Li Fu ; Xiang-Tuan Xiong 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.393
出版社：Hindawi Publishing Corporation
摘要：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.