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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 2, Pages 137–143
DOI: https://doi.org/10.14529/mmp170211 (Mi vyuru378) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Short Notes

Numerical investigation of the Boussinesq–Love mathematical models on geometrical graphs

A. A. Zamyshlyaeva, A. V. Lut

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (600 kB) Citations (14)
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DOI: https://doi.org/10.14529/mmp170211
Abstract: The article is devoted to the numerical investigation of the Boussinesq–Love mathematical models on geometrical graphs representing constructions made of thin elastic rods. The first paragraph describes the developed algorithm for numerical solution of the Boussinesq–Love equation with initial conditions and boundary conditions in the vertices. The block diagram of the algorithm is given and described. The result of computation experiment is given in the second paragraph.
Keywords: geometrical graph; the Sobolev type model; the Sturm–Liouville problem; the Boussinesq–Love mathematical model.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
The work was supported by Act 211 Government of the Russian Federation, contract No. 02.A03.21.0011.
Received: 02.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35G05
Language: English
Citation: A. A. Zamyshlyaeva, A. V. Lut, “Numerical investigation of the Boussinesq–Love mathematical models on geometrical graphs”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017), 137–143
Citation in format AMSBIB
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\by A.~A.~Zamyshlyaeva, A.~V.~Lut
\paper Numerical investigation of the Boussinesq--Love mathematical models on geometrical graphs
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 2
\pages 137--143
\mathnet{http://mi.mathnet.ru/vyuru378}
\crossref{https://doi.org/10.14529/mmp170211}
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\elib{https://elibrary.ru/item.asp?id=29274786}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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