Reconstruction of the right-hand side of a parabolic equation

A parabolic equation under the influence of external perturbations is considered. It is assumed that the solutions to this equation are measured (possibly with errors). The problem of construction of differential equations for estimation (reconstruction) of perturbations using the measured data is d...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2008-04, Vol.48 (4), p.641-647
Main Authors: Lavrent’ev, M. M., Maksimov, V. I.
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Computational mathematics
Computational Mathematics and Numerical Analysis
Differential equations
Inverse problems
Mathematics
Mathematics and Statistics
Studies
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Summary:A parabolic equation under the influence of external perturbations is considered. It is assumed that the solutions to this equation are measured (possibly with errors). The problem of construction of differential equations for estimation (reconstruction) of perturbations using the measured data is discussed. Differential equations of the auxiliary system whose right-hand sides are approximations of the unknown input are derived.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542508040118