Geodesic
Dynamic identification of boundary conditions for convection-diffusion transport model in the case of noisy measurements
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 21 (2019) no. 4, pp. 469-479

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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.
Keywords: partial differential equations, boundary problems, discrete linear stochastic system, parameter identification
Mots-clés : optimal estimation. 
@article{SVMO_2019_21_4_a5,
     author = {A. N. Kuvshinova},
     title = {Dynamic identification of boundary conditions for convection-diffusion transport model in the case of noisy measurements},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {469--479},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2019_21_4_a5/}
}
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A. N. Kuvshinova. Dynamic identification of boundary conditions for convection-diffusion transport model in the case of noisy measurements. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 21 (2019) no. 4, pp. 469-479. http://geodesic.mathdoc.fr/item/SVMO_2019_21_4_a5/