| Article |
|---|
| Article name |
On Solution of the First Boundary Value Problem on a Plane for Laplace’s Equation in the Area Bounded by Parabola |
| Authors |
Yefimova I.A. Candidate of Physics and Mathematics, hol47@yandex.ru |
| Bibliographic description |
|
| Section |
Scientific Research |
| UDK |
517.956 |
| DOI |
|
| Article type |
|
| Annotation |
The first boundary value problem in the inner part of the area limited by parabola
is considered. Using a convolution method of Fourier expansions, the problem solution is
expressed in the form of a series through the solution of the classical Dirichlet problem in the
half-plane.
|
| Key words |
Dirichlet problem in curvilinear area, Laplace’s equation, a method of
convolution of Fourier expansions. |
| Article information |
|
| References |
1. Kholodovsky S. Ye. Metod svyortyvaniya razlozheny Furye. Sluchay obobshchennykh
uslovy sopryazheniya tipa treshchiny (zavesy) v kusochno-neodnorodnykh sredakh //
Differentsialnye uravneniya. 2009. T. 45. № 6. S. 855–859.
2. Kholodovsky S. Ye. Metod svyortyvaniya razlozheny Furye. Sluchay treshchiny (zavesy)
v v neodnorodnom prostranstve // Differentsialnye uravneniya. 2009. T. 45. № 8. S. 1204–
1208. |
| Full article | On Solution of the First Boundary Value Problem on a Plane for Laplace’s Equation in the Area Bounded by Parabola |
