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| Paper IPM / M / 2357 |
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| Abstract: | |||||||||
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In this paper we study a finite difference approximation to an
inverse problem of finding the function u(x,t) and the unknown
positive coefficient a(t) in a parabolic initial-boundary value
problem. The backward Euler scheme is studied and its convergence
is proved via the application of the discrete maximum principle.
Error estimates for u and a, and some experimental numerical
results using the newly proposed numerical procedure are
presented.
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