Turkish Journal of Physics
Abstract
The Poisson problem in the space outside of a disk is investigated. Specifically, the Green’s function corresponding to the problem is calculated. The Green’s function equation is separable in terms of (oblate) ellipsoidal coordinates. Therefore, these coordinates are used to obtain a series expression for the Green’s function. This is done for both the Dirichlet and Neumann problems. The result is used to calculate the electric potential for some examples, with specific boundary conditions on a disk.
Author ORCID Identifier
MOHAMMAD KHORRAMI: 0000-0002-2524-5237
DOI
10.55730/1300-0101.2807
Keywords
Green's function, Poisson problem, ellipsoidal coordinates
First Page
117
Last Page
127
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
KHORRAMI, M (2026). Analytical solution of the Green’s functions for the Poisson problem outside a disk. Turkish Journal of Physics 50 (2): 117-127. https://doi.org/10.55730/1300-0101.2807
