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AN ANALOGUE OF THE POISSON FORMULA FOR SOLVING THE HELMHOLTZ EQUATION
- Authors: Savchenko A.O.1
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Affiliations:
- ICM-MG, SB RAS
- Issue: Vol 64, No 11 (2024)
- Pages: 2155-2159
- Section: Partial Differential Equations
- URL: https://rjonco.com/0044-4669/article/view/665144
- DOI: https://doi.org/10.31857/S0044466924110106
- EDN: https://elibrary.ru/KGKHKQ
- ID: 665144
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Abstract
Analogs of the Poisson formula for solving internal and external boundary value problems with Dirichlet or Neumann boundary conditions on a sphere for the Helmholtz equation are obtained, in which the kernels of integrals are represented as series.
References
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