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Title of Article

DUAL REGULARIZATION IN THE INVERSE PROBLEM WITH FINAL OBSERVATION FOR PARABOLIC EQUATION


Issue
3
Date
2011

Article type
scientific article
UDC
517.956.4:517.983.54
Pages
108-114
Keywords
ill-posed problems, dual regularization, parabolic equations, inverse problems, partial differential equations


Authors
Kuterin Fedor Alekseevich
Institut prikladnoy fiziki RAN, N. Novgorod


Abstract
An inverse problem is considered of finding the initial conditions and the distributed right-hand side of a parabolic equation by the approximation known at the final time. The application of the dual regularization algorithm and of the iterative dual method for the solution of this ill-posed problem is discussed. Numerical calculation results demonstrating the algorithm behavior are presented.

File (in Russian)