Numerical study of the inverse problem for the diffusion-reaction equation using optimization method

International Conference on Mechanical Engineering, Automation and Control Systems 2015

机械制造;无线电电子学;计算机科学

Soboleva, O.V.^2 ; Brizitskii, R.V.^1

Far Eastern Federal University, 8, Sukhanova St., Vladivostok

690950, Russia^1

Far Eastern State Technical Fisheries University, 52B, Lugovaya St., Vladivostok

690087, Russia^2

关键词: Diffusion-reaction equation;    Finite-difference discretization;    Mixed boundary condition;    Non-linear optimization;    Non-stationary diffusions;    Numerical algorithms;    Numerical experiments;    Optimization method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/124/1/012096/pdf
DOI  :  10.1088/1757-899X/124/1/012096

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The model of transfer of substance with mixed boundary condition is considered. The inverse extremum problem of identification of the main coefficient in a nonstationary diffusion-reaction equation is formulated. The numerical algorithm based on the Newton-method of nonlinear optimization and finite difference discretization for solving this extremum problem is developed and realized on computer. The results of numerical experiments are discussed.