Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2013, Issue 1, Pages 52–62 (Mi vspui108)  
This article is cited in 3 scientific papers (total in 3 papers)

Applied mathematics

Numerical integration of a biharmonic equation in square field

V. I. Ryazhskikh, M. I. Slyusarev, M. I. Popov

Voronezh State University of Engineering Technologies
Full-text PDF (459 kB) Citations (3)
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Abstract: The finite-difference algorithm of the numerical solution of a boundary-value problem for a biharmonic equation with a known right-hand member and zero conditions on required function and its normal gradient on boundary of a square field which was found on ideas of a relaxation method is suggested. The comparative analysis of the results obtained has confirmed efficiency of a computing circuit. Bibliogr. 20. Il. 2. Tabl. 2.
Keywords: biharmonic equation, relaxation method, finite-difference scheme.

Accepted: October 25, 2012
Document Type: Article
UDC: 519.635.1
Language: Russian
Citation: V. I. Ryazhskikh, M. I. Slyusarev, M. I. Popov, “Numerical integration of a biharmonic equation in square field”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 1, 52–62
Citation in format AMSBIB
\Bibitem{RjaSljPop13}
\by V.~I.~Ryazhskikh, M.~I.~Slyusarev, M.~I.~Popov
\paper Numerical integration of a biharmonic equation in square field
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2013
\issue 1
\pages 52--62
\mathnet{http://mi.mathnet.ru/vspui108}
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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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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    References:81
    First page:24
     
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