The presented article discusses the Fourier method of separation of variables for solving the Laplace equation in a rectangular domain with Neumann boundary conditions. The main stages of this method are subsequently revealed:1.Representation of the general solution of the Laplace equation in a rectangular domain using Fourier series.2.Satisfying the Neumann boundary conditions using Fourier series.3.Constructing the solution of the Neumann problem, including the expansion of the boundary functions into Fourier series, determining the Fourier coefficients, andwriting the final solution in the form of a Fourier series.4.Analysis of the properties of the obtained solution, including its uniqueness, smoothness, continuity, and physical interpretation
The presented article discusses the Fourier method of separation of variables for solving the Laplace equation in a rectangular domain with Neumann boundary conditions. The main stages of this method are subsequently revealed:1.Representation of the general solution of the Laplace equation in a rectangular domain using Fourier series.2.Satisfying the Neumann boundary conditions using Fourier series.3.Constructing the solution of the Neumann problem, including the expansion of the boundary functions into Fourier series, determining the Fourier coefficients, andwriting the final solution in the form of a Fourier series.4.Analysis of the properties of the obtained solution, including its uniqueness, smoothness, continuity, and physical interpretation
| № | Имя автора | Должность | Наименование организации |
|---|---|---|---|
| 1 | Bogdan .M. | student | Fergana State University |
| № | Название ссылки |
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