Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals

The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two disconnected intervals with weak solutions in wei...

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Bibliographic Details
Published in:	Computation Vol. 11; no. 10; p. 204
Main Authors:	Koleva, Miglena N., Vulkov, Lubin G.
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.10.2023
Subjects:	Boundary conditions Boundary value problems Conjugate gradient method Difference equations Differential equations Discretization finite-difference scheme Heat Ill posed problems Intervals Inverse problems iterative conjugate gradient method Iterative methods Numerical analysis parabolic equation on partitioned domain Partial differential equations Regularization methods retrospective inverse problem Sobolev space Temperature weighted Sobolev spaces Germany
ISSN:	2079-3197, 2079-3197
Online Access:	Get full text
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