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

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 ba...

Full description

Bibliographic Details
Main Authors: A. N. Markovsky, V. G. Lezhnev
Format: Article
Language:English
Published: Samara State Technical University 2011-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu931
_version_ 1819136753055825920
author A. N. Markovsky
V. G. Lezhnev
author_facet A. N. Markovsky
V. G. Lezhnev
author_sort A. N. Markovsky
collection DOAJ
description 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.
first_indexed 2024-12-22T10:39:59Z
format Article
id doaj.art-5559a39563054cdd913b67d564a018ba
institution Directory Open Access Journal
issn 1991-8615
2310-7081
language English
last_indexed 2024-12-22T10:39:59Z
publishDate 2011-03-01
publisher Samara State Technical University
record_format Article
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
spelling doaj.art-5559a39563054cdd913b67d564a018ba2022-12-21T18:29:02ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-03-011(22)23624010.14498/vsgtu931Progective algorithm of boundary value problem for inhomogeneous Lame's equationA. N. MarkovskyV. G. LezhnevThe 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.http://mi.mathnet.ru/eng/vsgtu931
spellingShingle A. N. Markovsky
V. G. Lezhnev
Progective algorithm of boundary value problem for inhomogeneous Lame's equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
title Progective algorithm of boundary value problem for inhomogeneous Lame's equation
title_full Progective algorithm of boundary value problem for inhomogeneous Lame's equation
title_fullStr Progective algorithm of boundary value problem for inhomogeneous Lame's equation
title_full_unstemmed Progective algorithm of boundary value problem for inhomogeneous Lame's equation
title_short Progective algorithm of boundary value problem for inhomogeneous Lame's equation
title_sort progective algorithm of boundary value problem for inhomogeneous lame s equation
url http://mi.mathnet.ru/eng/vsgtu931
work_keys_str_mv AT anmarkovsky progectivealgorithmofboundaryvalueproblemforinhomogeneouslamesequation
AT vglezhnev progectivealgorithmofboundaryvalueproblemforinhomogeneouslamesequation