A Tau Method for the One-Dimensional Parabolic Inverse Problem Subject to Temperature Overspecification

In this work, an approximational technique based on shifted Legendre-tau ideas is presented for the one-dimensional parabolic inverse problem with a control parameter. The method consists of expanding the required approximate solution as the elements of a shifted Legendre polynomial. Using the opera...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 52; no. 6; pp. 933 - 940
Main Authors Dehghan, M., Saadatmandi, A.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2006
Subjects
Algebra
Approximation
Computer simulation
Control parameter
Inverse problem
Inverse problems
Mathematical analysis
Mathematical models
Matrices
Operational matrix
Overspecification
Parabolic partial differential equations
Shifted Legendre tau method
Operational matrix
Shifted Legendre tau method
Control parameter
Inverse problem
Parabolic partial differential equations
Online AccessGet full text
ISSN0898-1221
1873-7668
DOI10.1016/j.camwa.2006.04.017

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Summary:In this work, an approximational technique based on shifted Legendre-tau ideas is presented for the one-dimensional parabolic inverse problem with a control parameter. The method consists of expanding the required approximate solution as the elements of a shifted Legendre polynomial. Using the operational matrices we reduce the problem to a set of algebraic equations. A numerical example is included to demonstrate the validity and applicability of the technique and a comparison is made with existing results. The method is easy to implement and produces very accurate results.
Bibliography:ObjectType-Article-2
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2006.04.017