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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 1, Pages 38–51
DOI: https://doi.org/10.47910/FEMJ202004 (Mi dvmg417) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Heat flow in a one-dimensional semi-infinite harmonic lattice with an absorbing boundary

A. I. Gudimenko

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (341 kB) Citations (3)
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DOI: https://doi.org/10.47910/FEMJ202004
Abstract: Traditionally, absorbing boundary conditions are used to limit the domains of numerical approximation of partial differential equations in infinite domains. In the present paper, the simplest of these conditions is used to obtain an analytical approximation of the solution to the problem of heat propagation in a one-dimensional infinite harmonic lattice consisting of two semi-infinite homogeneous sublattices with different mechanical characteristics.
Key words: harmonic chain, heat flow, absorbing boundary condition.
Received: 09.04.2020
Document Type: Article
UDC: 517.927, 531, 534.1
MSC: Primary 34A30; Secondary 34B05, 37L99, 80A20
Language: Russian
Citation: A. I. Gudimenko, “Heat flow in a one-dimensional semi-infinite harmonic lattice with an absorbing boundary”, Dal'nevost. Mat. Zh., 20:1 (2020), 38–51
Citation in format AMSBIB
\Bibitem{Gud20}
\by A.~I.~Gudimenko
\paper Heat flow in a one-dimensional semi-infinite harmonic lattice with an absorbing boundary
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 1
\pages 38--51
\mathnet{http://mi.mathnet.ru/dvmg417}
\crossref{https://doi.org/10.47910/FEMJ202004}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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