Article |
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Article name |
Solving Third Boundary Value Problems in Piecewise-homogeneous Half-plane with a Crack (Screen) |
Authors |
Shadrina N.N. Senior teacher of the Department of Informatics, Computer Engineering and Applied Mathematics, shadrinann8@yandex.ru |
Bibliographic description |
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Section |
Scientific Research |
UDK |
517.956 |
DOI |
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Article type |
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Annotation |
The article considers the third boundary value problems in the piecewise-homogeneous
half-plane with two lines of permeability discontinuity, one of which is parallel and another one
is perpendicular to the boundary of the half-plane. The first line is an ideal contact medium,
and the second line is a highly permeable fracture or a weakly permeable screen. Applying the
method of convolution of Fourier expansions, the problems solutions are expressed in terms
of the classical solution of the Dirichlet problem in the homogeneous half-plane (without a
crack or a screen).
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Key words |
boundary value problems, piecewise-homogeneous half-plane, fracture, screen,
method of convolution of Fourier expansions. |
Article information |
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References |
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Full article | Solving Third Boundary Value Problems in Piecewise-homogeneous Half-plane with a Crack (Screen) |