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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 1, Pages 102–118 (Mi timm531)  
This article is cited in 14 scientific papers (total in 14 papers)

Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay

A. V. Lekomtsev, V. G. Pimenov

Ural State University
Full-text PDF (492 kB) Citations (14)
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Abstract: Two-dimensional parabolic equations with delay effects in the time component are considered. An alternating direction scheme is constructed for the numerical solution of these equations. The question on the reduction of the problem with inhomogeneous boundary conditions to a problem with homogeneous boundary conditions is considered. The order of approximation error for the alternating direction scheme, stability, and convergence order are investigated.
Keywords: parabolic equations, delay, alternating direction method.
Received: 02.11.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S101–S118
DOI: https://doi.org/10.1134/S0081543811020088
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Lekomtsev, V. G. Pimenov, “Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 1, 2010, 102–118; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S101–S118
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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