Eurasian Journal of Mathematical Theory and Computer Sciences 4-jild 6-son (2024) · 38–46-betlar

GREEN'S FUNCTION OF THE LAPLACE OPERATOR FOR A BALL

Bogdan, Anna

DOI: 10.5281/zenodo.12069780 · Manbada o'qish → · PDF (manba serverida)

Annotatsiya

This material examines the key concepts of mathematical physics - the Green's function and the Laplace operator, and their application for solving problems related to the distribution of potentials and fields in various physical systems. Particular attention is paid to the study of the properties of the Green's function of the Laplace operator for a sphere and its use in solving practical problems.

Green's function, Laplace operator, mathematical physics, potential theory, potential distribution, spherical geometry, Laplace equation, Poisson equation, Dirichlet problem, method of separation of variables, Fourier transform, convolution, boundary conditions, asymptotics, numerical methods.

Metadata manbasi: jurnal OAI-PMH arxivi · Sindex to'liq matnni saqlamaydi, manbaga havola beradi.