Open AccessDynamic identification of boundary conditions for convection-diffusion transport model in the case of noisy measurements
Author(s) -
Anastasia Nikolaevna Kuvshinova
Publication year - 2019
Publication title -
žurnal srednevolžskogo matematičeskogo obŝestva
Language(s) - English
Resource type - Journals
eISSN - 2587-7496
pISSN - 2079-6900
DOI - 10.15507/2079-6900.21.201904.469-479
Subject(s) - identification (biology) , boundary (topology) , boundary value problem , diffusion , partial differential equation , convection–diffusion equation , function (biology) , computer science , mathematics , parameter identification problem , algorithm , control theory (sociology) , mathematical optimization , mathematical analysis , physics , artificial intelligence , model parameter , botany , control (management) , evolutionary biology , biology , thermodynamics
The paper addresses the problem of dynamic identification of mixed boundary conditions for one-dimensional convection-diffusion transport model based on noisy measurements of the function of interest. Using finite difference method the original model with the partial differential equation is replaced with the discrete linear dynamic system with noisy multisensor measurements in which boundary conditions are included as unknown input vector. To solve the problem, the algorithm of simultaneous estimation of the state and input vectors is used. The results of numerical experiments are presented which confirm the practical applicability of the proposed method.