Numerical reconstruction of the right hand side with separable variables of the parabolic equation

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
Main Authors: Vasil’ev, V. I., Kardashevsky, A. M., Popov, V. V.
Format: Conference Proceeding
Language:English
Subjects:
Boundary value problems
Conjugate gradient method
Mathematical models
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Online Access:Get full text
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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 results of the computational experiment for model problems with quasi-real solutions are discussed.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5064940