| Article |
|---|
| Article name |
Solving the Neumann Problem in Piecewise-homogeneous Curved Areas with a Weakly Permeable Film as a Beam |
| Authors |
Ignatjeva N.V. Senior teacher of the Depart-ment of Applied Informatics and Mathematics, Ignatievanatalia@mail.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 solves the Neumann problem for the Laplace equation in a piecewise-
homogeneous region bounded by one branch of a hyperbola, and consisting of two symmetrical
zones with different permeability. The line between the homogeneous zones consists of a
segment with the ideal zones contact and the beam in the form of a weakly permeable film. The
specified contact of heterogeneous environments takes place in case of non-uniform external
forces. Using the method of convolution of Fourier expansions, the solution is expressed
through the solution of the classical Neumann problem in a homogeneous half-plane.
|
| Key words |
Laplace equation, Neumann boundary value problem, weakly permeable film,
method of convolution of Fourier expansions. |
| Article information |
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| References |
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| Full article | Solving the Neumann Problem in Piecewise-homogeneous Curved Areas with a Weakly Permeable Film as a Beam |
