Numerical Analysis of Inverse Extremum Problems for the Nonlinear Nonstationary Diffusion-Reaction Equation

The model of transfer of substance with Dirichlet boundary condition is considered. Inverse extremum problem of identification of the main coefficient in a nonstationary diffusion-reaction equation is formulated. The numerical algorithm based on the conjugate gradient method for solving this extremu...

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Bibliographic Details
Published in:Key Engineering Materials 2016-02, Vol.685, p.42-46
Main Authors: Soboleva, O.V., Fershalov, A.Yu
Format: Article
Language:English
Subjects:
Computer programs
Computer simulation
Conjugate gradient method
Diffusion-reaction equations
Dirichlet problem
Inverse
Mathematical models
Numerical analysis
Online Access:Get full text
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Summary:The model of transfer of substance with Dirichlet boundary condition is considered. Inverse extremum problem of identification of the main coefficient in a nonstationary diffusion-reaction equation is formulated. The numerical algorithm based on the conjugate gradient method for solving this extremum problem is developed and is programmed on computer. The results of numerical experiments are discussed.
ISSN:1013-9826
1662-9795
1662-9795
DOI:10.4028/www.scientific.net/KEM.685.42