| Article |
|---|
| Article name |
Solution of Boundary Value Problems for the Laplace Equation on a Half-Plane Bounded by a Weakly Permeable Film and Containing a Strongly Permeable Film |
| Authors |
Yakovleva , G.M. Senior teacher of the Department of Informatics, Computer Engineering and Applied Mathematics,, y.g.m@mail.ru |
| Bibliographic description |
Yakovleva G. M. Solution of Boundary Value Problems for the Laplace Equation on a Half-Plane Bounded by a Weakly Permeable Film and Containing a Strongly Permeable Film // Scholarly Notes of Transbaikal State University. 2019. Vol. 14, No 3. PP. 41-48. DOI: 10.21209/2308-8761-2019-14-3-41-48. |
| Section |
PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS |
| UDK |
517.956 |
| DOI |
10.21209/2308-8761-2019-14-3-41-48 |
| Article type |
|
| Annotation |
Boundary-value problems for the Laplace equation on a piecewise-homogeneous half-plane bounded by a weakly permeable film and consisting of two quadrants separated by a strongly permeable film are considered. By the method of convolution of Fourier expansions, the solution of the problem is expressed in quadratures by solving the classical Dirichlet problem on a homogeneous half-plane (without films).
|
| Key words |
boundary value problems, strongly permeable film, weakly permeable film, the method of convolution of Fourier expansions |
| Article information |
|
| References |
1. Holodovskij S. E. O mnogoslojnyh plenkah na granice poluprostranstva // Matematicheskie zametki. 2016. T. 99, vyp. 3. S. 421-427.
2. Tihonov A. N., Samarskij A. A. Uravneniya matematicheskoj fiziki. M.: Nauka, 1972. 735 s.
3. Holodovskij S. E. Metod svertyvaniya razlozhenij Fur’e v reshenii kraevyh zadach s peresekayushchimisya liniyami sopryazheniya // ZHurnal vychislitel’noj matematiki i matematicheskoj fiziki. 2007. T. 47, № 9. S. 1550-1556.
4. Fihtengol’c G. M. Kurs differencial’nogo i integral’nogo ischisleniya. M.: Nauka, 1962. T. 3. 656 s.
5. Arsenin V. Ya. Metody matematicheskoj fiziki i special’nye funkcii. M.: Nauka, 1974. 735 s. |
| Full article | Solution of Boundary Value Problems for the Laplace Equation on a Half-Plane Bounded by a Weakly Permeable Film and Containing a Strongly Permeable Film |
