- Tytuł:
- On approximate conformal mapping of a disk and an annulus with radial and circular slits onto multiply connected domains
- Autorzy:
-
Ivanshin, Pyotr N.
Shirokova, Elena A. - Powiązania:
- https://bibliotekanauki.pl/articles/1839828.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
conformal mapping
multiply connected domain
Fredholm integral equation
mapowanie konformalne
równanie całkowe Fredholma
domeny połączone - Opis:
- The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with m circular slits and n-m radial slits and an annulus with (m-1) circular slits and n-m radial slits onto an arbitrary given (n+1) multiply connected finite domain with a smooth boundary. The method is based on extension of the Lichtenstein-Gershgorin equation to a multiply connected domain. The proposed method is reduced to the solution of a linear system with unknown Fourier coefficients. The approximate mapping function has the form of a Cauchy integral. Numerical examples demonstrate that the proposed method is effective in computations.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 2; 73-84
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł