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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 12, Pages 2042–2052
DOI: https://doi.org/10.7868/S0044466917120110 (Mi zvmmf10652) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation

P. P. Matusab, Le Minh Hieucd

a Institute of Mathematics, National Academy of Sciences of Belarus, Minsk, Belarus
b John Paul II Catholic University of Lublin, Lublin, Poland
c Belarussian State University, Minsk, Belarus
d University of Economics, University of Danang, Danang, Vietnam
Full-text PDF (267 kB) Citations (9)
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DOI: https://doi.org/10.7868/S0044466917120110
Abstract: New second-order accurate monotone difference schemes on nonuniform spatial grids for two-dimensional stationary and nonstationary convection-diffusion equations are proposed. The monotonicity and stability of the solutions of the computational methods with respect to the boundary conditions, the initial condition, and the right-hand side are proved. Two-sided and corresponding a priori estimates are obtained in the grid norm of $C$. The convergence of the proposed algorithms to the solution of the original differential problem with the second order is proved.
Key words: monotone difference scheme, convection-diffusion equation, maximum principle, twosided estimate, nonuniform grids.
Received: 01.08.2016
Revised: 16.11.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 12, Pages 1994–2004
DOI: https://doi.org/10.1134/S0965542517120107
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: P. P. Matus, Le Minh Hieu, “Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017), 2042–2052; Comput. Math. Math. Phys., 57:12 (2017), 1994–2004
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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