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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 7, Pages 1149–1170
DOI: https://doi.org/10.7868/S0044466914070072 (Mi zvmmf10064) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball

V. V. Karachik

Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia
Full-text PDF (341 kB) Citations (34)
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DOI: https://doi.org/10.7868/S0044466914070072
Abstract: An algorithm is proposed for the analytical construction of a polynomial solution to Dirichlet problem for an inhomogeneous polyharmonic equation with a polynomial right-hand side and polynomial boundary data in the unit ball.
Key words: polyharmonic equation, Almansi formula, polyharmonic polynomials, Dirichlet problem, polynomial solutions.
Received: 10.12.2013
Revised: 23.01.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 7, Pages 1122–1143
DOI: https://doi.org/10.1134/S0965542514070070
Bibliographic databases:
Document Type: Article
UDC: 519.632
MSC: 35J40,35B30
Language: Russian
Citation: V. V. Karachik, “Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball”, Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014), 1149–1170; Comput. Math. Math. Phys., 54:7 (2014), 1122–1143
Citation in format AMSBIB
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:103
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