Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 200, Pages 105–114
DOI: https://doi.org/10.36535/0233-6723-2021-200-105-114 (Mi into906) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the search for moment functions of a solution of the stochastic diffusion equation by the projection method

E. V. Sereginaa, M. A. Stepovichb, A. M. Makarenkova

a Kaluga Branch of Bauman Moscow State Technical University
b Tsiolkovsky Kaluga State University
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DOI: https://doi.org/10.36535/0233-6723-2021-200-105-114
Abstract: In this paper, we present some results of the application of the projection method of least squares for the search for the first- and second-order moment functions of the solution of the two-dimensional equation of exciton diffusion with a random coefficient. An estimate of the error for the quadratic functional is obtained. Results of computational experiments for the parameters characteristic of gallium nitride are presented.
Keywords: diffusion equation, projection method of least squares, Laguerre functions, expectation, autocorrelation function, modulus of continuity.
Funding agency Grant number
Russian Foundation for Basic Research 19-03-00271
18-41-400001
This work was supported by the Russian Foundation for Basic Research and the Government of the Kaluga Region (project Nos. 19-03-00271, 18-41-400001).
Document Type: Article
UDC: 517.584
MSC: 35G16, 33C10, 78A55
Language: Russian
Citation: E. V. Seregina, M. A. Stepovich, A. M. Makarenkov, “On the search for moment functions of a solution of the stochastic diffusion equation by the projection method”, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200, VINITI, Moscow, 2021, 105–114
Citation in format AMSBIB
\Bibitem{SerSteMak21}
\by E.~V.~Seregina, M.~A.~Stepovich, A.~M.~Makarenkov
\paper On the search for moment functions of a solution of the stochastic diffusion equation by the projection method
\inbook Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 200
\pages 105--114
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into906}
\crossref{https://doi.org/10.36535/0233-6723-2021-200-105-114}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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