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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 4, Pages 429–439
DOI: https://doi.org/10.15372/SJNM20160407 (Mi sjvm628) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A difference scheme for a conjugate-operator model of the heat conduction problem on non-matching grids

S. B. Sorokinab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.15372/SJNM20160407
Abstract: On non-matching grids discrete analogue conjugate-operator models of heat conduction, keeping the structure of the original model are constructed. Numerical experiments show that the difference scheme converges with second order of accuracy for the case of discontinuous parameters of the medium in the Fourier law and non-uniform grids.
Key words: problem of heat conductivity, mathematical model, discrete analog, non-matching grid, convergence, difference scheme.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1.3
15
Received: 28.12.2015
Revised: 22.04.2016
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 4, Pages 335–345
DOI: https://doi.org/10.1134/S1995423916040078
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “A difference scheme for a conjugate-operator model of the heat conduction problem on non-matching grids”, Sib. Zh. Vychisl. Mat., 19:4 (2016), 429–439; Num. Anal. Appl., 9:4 (2016), 335–345
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