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

Abstract:

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.

• Periodical: Key Engineering Materials (Volume 685)
• Pages: 42-46
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.685.42
• Online since: February 2016
• Authors: O.V. Soboleva, A.Yu. Fershalov
• Keywords: Algorithm, Inverse Extremum Problem, Nonlinear Diffusion-Reaction Equation, Numerical Experiments, Parabolic Partial Differential Equations

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