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

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

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 un...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 14; no. 6; pp. 2664 - 2669
Main Authors: Pourgholi, R., Azizi, N., Gasimov, Y.S., Aliev, F., Khalafi, H.K.
Format: Journal Article
Language:English
Published: Elsevier B.V 01-06-2009
Subjects:
Cauchy problem
Conduction
Existence
Heat conduction
Heat transfer
Ill posed problems
Instability
Inverse
Inverse heat conduction problem
Mathematical models
Uniqueness
Well posed problems
58G11
02.30.Zz
Inverse heat conduction problem
93D05
Uniqueness
35K05
02.30.Jr
Instability
02.60.−x
Existence
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2008.08.002