An inverse problem for determination of the right part of parabolic equation by conjugate gradient method

In the paper for multidimensional parabolic equation we consider a problem of the right-hand side identification which is a product of two functions, one of which depends on time and the other one depends on space variables. For numerical solution of the posed inverse initial-boundary value problem,...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-02, Vol.1158 (4), p.42033
Main Authors: Vasil'ev, V I, Kardashevsky, A M, Popov, V V
Format: Article
Language:English
Subjects:
Boundary value problems
Conjugate gradient method
Inverse problems
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Summary:In the paper for multidimensional parabolic equation we consider a problem of the right-hand side identification which is a product of two functions, one of which depends on time and the other one depends on space variables. For numerical solution of the posed inverse initial-boundary value problem, the conjugate gradient method is used in combination with the method of finite differences with a purely implicit time approximation. The authors discuss the results of the computational experiment for model problems with quasi-real solutions
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1158/4/042033