Recovering a time-dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method

The aim of this article is to discuss the problem of finding the unknown function u(x,t) and the time‐dependent coefficient a(t) in a parabolic partial differential equation. The pseudospectral Legendre method is employed to solve this problem. The results of numerical experiments are given. © 2006...

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Bibliographic Details
Published inNumerical methods for partial differential equations Vol. 23; no. 1; pp. 196 - 210
Main Authors Shamsi, M., Dehghan, Mehdi
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.01.2007
Subjects
conductivity of a medium
determination of a time-dependent coefficient
extra measurement
parabolic partial differential equations
Pseudospectral Legendre technique
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Summary:The aim of this article is to discuss the problem of finding the unknown function u(x,t) and the time‐dependent coefficient a(t) in a parabolic partial differential equation. The pseudospectral Legendre method is employed to solve this problem. The results of numerical experiments are given. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007
Bibliography:istex:555FA663512090E883395D9CF30BC7F76D8BEF31
ark:/67375/WNG-3TT3WWZH-X
ArticleID:NUM20174
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20174