On the Green's function for the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere

	On the Green's function for the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere
Computational Methods for Differential Equations
مقاله 29، دوره 14، شماره 3، مهر 2026، صفحه 1471-1477 اصل مقاله (337.5 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.61973.2701
نویسنده
Ilona Iglewska-Nowak^*
Department of Mathematics, West Pomeranian University of Technology in Szczecin, al. Piastow 17, PL-70-310 Szczecin, Poland
چکیده
In the paper, a new method is presented to obtain a closed form of the generalized Green function to the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere.
کلیدواژه‌ها
$n$-spheres؛ PDE؛ Poisson equation؛ Helmholtz equation؛ Green function

مراجع
[1] W.N. Bailey, Generalized Hypergeometric Series, Stechert-Hafner Services Agency, New York and London, 1964. [2] I. Iglewska-Nowak and P. Stefaniak, Wavelet based solutions to the Poisson and the Helmholtz equations on the n-dimensional unit sphere, J. Fourier Anal. Appl. 29 (2023), no. 3, Paper No. 28, 22 pp. [3] N. Shimakura, Partial differential operators of elliptic type, Translations of Mathematical Monographs, Vol. 99, Amer. Math. Soc., Providence, Rhode Island, 1992.
آمار تعداد مشاهده مقاله: 205 تعداد دریافت فایل اصل مقاله: 218

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب