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Matematicheskoe modelirovanie, 2013, Volume 25, Number 5, Pages 55–66 (Mi mm3362)  
This article is cited in 5 scientific papers (total in 5 papers)

Bicompact scheme for linear inhomogeneous transport equation

E. N. Aristovaab, D. F. Baydina, B. V. Rogovab

a Keldysh Institute of Applied Mathematics RAS
b Moscow Institute of Physics and Technology
Full-text PDF (313 kB) Citations (5)
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Abstract: Generalization of bicompact finite-difference schemes, constructed for homogeneous linear transport equation, has been carried out in the case of inhomogeneous transport equation. This equation describes transport of particles or radiation in media. Bicompact scheme is constructed by means of method of lines for initial unknown function and additional unknown mesh function defined as the integral average of decision function over space cells. Comparison of the method calculation results with the conservative-characteristic method results has been done. The last method might be assigned to bicompact schemes too although it is based on the idea of true distribution of coming fluxes over cell edges.
Keywords: transport equation, finite-difference schemes, bicompact schemes, conservative schemes, Runge–Kutta methods, redistribution of fluxes.
Received: 11.04.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 6, Pages 586–594
DOI: https://doi.org/10.1134/S2070048213060033
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. N. Aristova, D. F. Baydin, B. V. Rogov, “Bicompact scheme for linear inhomogeneous transport equation”, Mat. Model., 25:5 (2013), 55–66; Math. Models Comput. Simul., 5:6 (2013), 586–594
Citation in format AMSBIB
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\by E.~N.~Aristova, D.~F.~Baydin, B.~V.~Rogov
\paper Bicompact scheme for linear inhomogeneous transport equation
\jour Mat. Model.
\yr 2013
\vol 25
\issue 5
\pages 55--66
\mathnet{http://mi.mathnet.ru/mm3362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3114903}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 6
\pages 586--594
\crossref{https://doi.org/10.1134/S2070048213060033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925292329}
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  • https://www.mathnet.ru/eng/mm3362
  • https://www.mathnet.ru/eng/mm/v25/i5/p55
    • This publication is cited in the following 5 articles:
    1. V. E. Karpov, A. I. Lobanov, “Setochno-kharakteristicheskaya raznostnaya skhema dlya resheniya uravneniya Khopfa na osnove dvukh razlichnykh divergentnykh form”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 16:2 (2023), 91–103  mathnet  crossref
    2. E. N. Aristova, M. I. Stoynov, “Bicompact schemes of solving an stationary transport equation by quasi–diffusion method”, Math. Models Comput. Simul., 8:6 (2016), 615–624  mathnet  crossref  elib
    3. Aristova E.N. Rogov B.V., “Bicompact Scheme For the Multidimensional Stationary Linear Transport Equation”, Appl. Numer. Math., 93:SI (2015), 3–14  crossref  isi
    4. E. N. Aristova, “Bicompact scheme for linear inhomogeneous transport equation in a case of a big optical width”, Math. Models Comput. Simul., 6:3 (2014), 227–238  mathnet  crossref  mathscinet  elib
    5. E. N. Aristova, S. V. Martynenko, “Bicompact Rogov schemes for the multidimensional inhomogeneous linear transport equation at large optical depths”, Comput. Math. Math. Phys., 53:10 (2013), 1499–1511  mathnet  crossref  crossref  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Abstract page:512
    Full-text PDF :135
    References:68
    First page:27
     
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