Reconstruction of a Heat Equation from One Point Observations

Husain Salem Al-Attas; A Boumenir

doi:10.1007/s42967-021-00174-x

Reconstruction of a Heat Equation from One Point Observations

Husain Salem Al-Attas
, A Boumenir

King Fahd University of Petroleum & Minerals

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

1 Scopus citations

Abstract

We are concerned with the reconstruction of the heat sink coefficient in a one-dimensional heat equation from the observations of solutions at the same point. This direct method which is based on spectral estimation and asymptotics techniques provides a fast algorithm and also an alternative to the Gelfand-Levitan theory or minimization procedures.

Original language	English
Pages (from-to)	1280-1292
Number of pages	13
Journal	SPRINGERNATURE
Volume	4
Issue number	4
DOIs	https://doi.org/10.1007/s42967-021-00174-x
State	Published - Dec 2022

Bibliographical note

Funding Information:
Both authors sincerely thank the referees for their comments and KFUPM SB 191035 for its support.

Publisher Copyright:
© 2021, Shanghai University.

Keywords

Heat equation
Inverse problem
Parameter identification

ASJC Scopus subject areas

Applied Mathematics
Computational Mathematics

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10.1007/s42967-021-00174-x

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title = "Reconstruction of a Heat Equation from One Point Observations",

abstract = "We are concerned with the reconstruction of the heat sink coefficient in a one-dimensional heat equation from the observations of solutions at the same point. This direct method which is based on spectral estimation and asymptotics techniques provides a fast algorithm and also an alternative to the Gelfand-Levitan theory or minimization procedures.",

keywords = "Heat equation, Inverse problem, Parameter identification",

author = "Al-Attas, \{Husain Salem\} and A Boumenir",

note = "Funding Information: Both authors sincerely thank the referees for their comments and KFUPM SB 191035 for its support. Publisher Copyright: {\textcopyright} 2021, Shanghai University.",

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AU - Boumenir, A

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AB - We are concerned with the reconstruction of the heat sink coefficient in a one-dimensional heat equation from the observations of solutions at the same point. This direct method which is based on spectral estimation and asymptotics techniques provides a fast algorithm and also an alternative to the Gelfand-Levitan theory or minimization procedures.

KW - Heat equation

KW - Inverse problem

KW - Parameter identification

UR - https://www.scopus.com/pages/publications/85132393229

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DO - 10.1007/s42967-021-00174-x

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VL - 4

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JO - SPRINGERNATURE

JF - SPRINGERNATURE

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ER -

Reconstruction of a Heat Equation from One Point Observations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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