GREEN'S FUNCTION OF THE LAPLACE OPERATOR FOR A BALL

Mualliflar

  • Anna Bogdan Fergana State University, faculty of mathematics and informatics, area of mathematics, student of the third course Muallif

;

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.

Abstrak

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.

Iqtiboslar

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Nashr qilingan

2024-06-17

Iqtibos keltirish tartibi

GREEN’S FUNCTION OF THE LAPLACE OPERATOR FOR A BALL. (2024). Yevroosiyo Matematik Nazariya Va Kompyuter Fanlari Jurnali, 4(6), 38-46. https://in-academy.uz/index.php/EJMTCS/article/view/8753