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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 5, Pages 801–813
DOI: https://doi.org/10.7868/S0044466917050076 (Mi zvmmf10571) 		 
This article is cited in 12 scientific papers (total in 12 papers)

The projection Galerkin method for solving the time-independent differential diffusion equation in a semi-infinite domain

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

a Kaluga Division of the Moscow State Technical University, Kaluga, Russia
b Kaluga State University, Kaluga, Russia
Full-text PDF (206 kB) Citations (12)
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DOI: https://doi.org/10.7868/S0044466917050076
Abstract: Using the diffusion equation as an example, results of applying the projection Galerkin method for solving time-independent heat and mass transfer equations in a semi-infinite domain are presented. The convergence of the residual corresponding to the approximate solution of the timeindependent diffusion equation obtained by the projection method using the modified Laguerre functions is proved. Computational results for a two-dimensional toy problem are presented.
Key words: heat and mass transfer equations, diffusion, projection Galerkin method, Laguerre functions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 340/2015, проект № 1416
Russian Foundation for Basic Research 16-03-00515_а
14-42-03062_р_центр_ а
Received: 28.03.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 5, Pages 802–814
DOI: https://doi.org/10.1134/S0965542517050074
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: A. M. Makarenkov, E. V. Seregina, M. A. Stepovich, “The projection Galerkin method for solving the time-independent differential diffusion equation in a semi-infinite domain”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 801–813; Comput. Math. Math. Phys., 57:5 (2017), 802–814
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
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