Determination of temperature distribution and control parameter in a two-dimensional parabolic inverse problem with overspecified data

被引：1
作者：
Li Fu-Le [1 ]
Zhang Hong-Qian [1 ]
机构：
[1] Qingdao Agr Univ, Coll Sci & Informat, Qingdao 266109, Peoples R China
来源：
CHINESE PHYSICS B | 2011年 / 20卷 / 10期
关键词：
control parameter; temperature distribution; finite difference scheme; solvability; DIFFERENCE SCHEME;
D O I：
10.1088/1674-1056/20/10/100201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we present a new algorithm to solve a two-dimensional parabolic inverse problem with a source parameter, which appears in many physical phenomena. A linearized compact difference scheme for this problem is constructed using the finite difference method. The discretization accuracy is second-order in time and fourth-order in space. We obtain the unique solvability and present an alternating direction implicit algorithm to solve this difference scheme. The results of numerical experiments are presented to demonstrate the accuracy of this algorithm.
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页数：7
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