Investigation and regularization of the initial inverse problem in the two dimensional heat equation

Khalid Masood

Investigation and regularization of the initial inverse problem in the two dimensional heat equation

Khalid Masood^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We investigate the inverse problem in a rectangular plate involving recovery of the initial temperature distribution from measurements of the final temperature distribution. This problem is extremely ill-posed and it is desirable to regularize the problem to get some meaningful information. We reformulate the problem with a regularizing parameter which closely approximates and regularizes the heat conduction model.

Original language	English
Pages (from-to)	37-42
Number of pages	6
Journal	International Journal of Heat and Technology
Volume	23
Issue number	2
State	Published - 2005

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

Cite this

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abstract = "We investigate the inverse problem in a rectangular plate involving recovery of the initial temperature distribution from measurements of the final temperature distribution. This problem is extremely ill-posed and it is desirable to regularize the problem to get some meaningful information. We reformulate the problem with a regularizing parameter which closely approximates and regularizes the heat conduction model.",

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AB - We investigate the inverse problem in a rectangular plate involving recovery of the initial temperature distribution from measurements of the final temperature distribution. This problem is extremely ill-posed and it is desirable to regularize the problem to get some meaningful information. We reformulate the problem with a regularizing parameter which closely approximates and regularizes the heat conduction model.

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Investigation and regularization of the initial inverse problem in the two dimensional heat equation

Abstract

ASJC Scopus subject areas

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