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An Adaptive Algorithm for Determination of Source Terms in a Linear Parabolic Problem by Arzu Erdem is a Mathematics article available to read on EtoBox.

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## Abstract This paper investigates an adaptive algorithm for identification of source terms w : = { F ( x , t ) ; p ( t ) } ${w:=\lbrace F(x,t);p(t)\rbrace }$ in the linear parabolic equation u t = u x x + F ( x , t ) $u\_t= u\_{xx} + F(x,t)$ and Robin boundary condition - u x ( l , t ) = ν [ u ( l , t ) - p ( t ) ] ${-u\_x(l,t)= \nu [u(l,t) - p(t)]}$ from the measured final data and the measurement of the temperature in a subregion. This is based on the minimization of Tikhonov functional. We pursue the approach iteratively regularized gradient method. Results with the adaptive algorithm are presented.

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Author

Arzu Erdem

Publisher

Walter de Gruyter GmbH

Published

2013

Language

EN

Field

Mathematics (Physical Sciences)