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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 1(22), Pages 236–240
DOI: https://doi.org/10.14498/vsgtu931 (Mi vsgtu931) 		 
Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

Progective algorithm of boundary value problem for inhomogeneous Lame's equation

V. G. Lezhnev, A. N. Markovsky

Dept. of Computational Technologies, Kuban State University, Krasnodar
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DOI: https://doi.org/10.14498/vsgtu931
Abstract: The method of boundary value problem solution for the stationary inhomogeneous Lame's equation is considered. An appointed vector-function space splitting is used that leads to inhomogeneous biharmonic equation and Poisson's equation problems for components of required vector field. The basic potentials method is proposed to solve these problems.
Keywords: Lame's equation, Weyl's expansion, bigarmonic equation, basic potentials method (of fundamental solutions).
Original article submitted 30/XI/2010
revision submitted – 15/III/2011
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 34K28
Language: Russian
Citation: V. G. Lezhnev, A. N. Markovsky, “Progective algorithm of boundary value problem for inhomogeneous Lame's equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 236–240
Citation in format AMSBIB
\Bibitem{LezMar11}
\by V.~G.~Lezhnev, A.~N.~Markovsky
\paper Progective algorithm of boundary value problem for inhomogeneous Lame's equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 236--240
\mathnet{http://mi.mathnet.ru/vsgtu931}
\crossref{https://doi.org/10.14498/vsgtu931}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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