Removal of numerical instability in the solution of an inverse heat conduction problem

被引：25

作者：

Pourgholi, R. ^{[1
]}

Azizi, N.

Gasimov, Y. S. ^{[2
]}

Aliev, F. ^{[2
]}

Khalafi, H. K. ^{[1
]}

机构：

[1] Damghan Univ Basic Sci, Fac Math & Comp Sci, Damghan, Iran

[2] Baku State Univ, Inst Appl Math, AZ-1148 Baku, Azerbaijan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 06期

关键词：

Inverse heat conduction problem; Existence; Uniqueness; Instability;

D O I：

10.1016/j.cnsns.2008.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider an inverse heat conduction problem (IHCP). A set of temperature measurements at a single sensor location inside the heat conduction body is required. Using a transformation, the ill-posed IHCP becomes a Cauchy problem. Since the solution of Cauchy problem, exists and is unique but not always stable, the ill-posed problem is closely approximated by a well-posed problem. For this new well-posed problem, the existence, uniqueness, and stability of the solution are proved. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2664 / 2669

页数：6

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