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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2021, Volume 31, Issue 1, Pages 19–34
DOI: https://doi.org/10.35634/vm210102
(Mi vuu752)
 

This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation

M. A. Kerefova, S.Kh. Gekkievab

a Department of Applied Mathematics and Informatics, Kabardino-Balkarian State University named after H. M. Berbekov, ul. Chernyshevskogo, 173, Nalchik, 360004, Russia
b Institute of Applied Mathematics and Automation of Kabardin-Balkar Scientific Center of RAS, ul. Shortanova, 89 a, Nalchik, 360000, Russia
Full-text PDF (247 kB) Citations (4)
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Abstract: The paper studies qualitatively new equations of moisture transfer, which generalize the Aller and Aller-Lykov equations. The generalization contributes to revealing in the original equations the specific features of the studied massifs, their structure, physical properties, processes occurring in them through the introduction of the notion of the rates of change of the fractal dimension. We have obtained solutions to the constant coefficient difference equations as a system arising when using the method of lines for the equations with a Riemann-Liouville time fractional derivative with boundary conditions of the first kind. A priori estimates are obtained that imply convergence of the obtained solutions to systems of ordinary differential equations with variable fractional coefficients. Numerical tests have been carried out to confirm theoretical results of the study.
Keywords: generalized Aller moisture transfer equation, Aller-Lykov equation, fractional order derivative, method of lines, a priori estimate.
Received: 23.12.2020
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35C99
Language: Russian
Citation: M. A. Kerefov, S.Kh. Gekkieva, “Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:1 (2021), 19–34
Citation in format AMSBIB
\Bibitem{KerGek21}
\by M.~A.~Kerefov, S.Kh.~Gekkieva
\paper Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2021
\vol 31
\issue 1
\pages 19--34
\mathnet{http://mi.mathnet.ru/vuu752}
\crossref{https://doi.org/10.35634/vm210102}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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    Abstract page:330
    Full-text PDF :173
    References:39
     
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