Computing the Green’s function of the initial boundary value problem for the wave equation in a radially layered cylinder. (English) Zbl 1359.35113
Summary: In this paper, a method for construction of the time-dependent approximate Green’s function for the initial boundary value problem in a radially multilayered cylinder is suggested. This method is based on determination of the eigenvalues and the orthogonal set of the eigenfunctions; regularization of the Dirac delta function in the form of the Fourier series with a finite number of terms; expansion of the unknown Green’s function in the form of Fourier series with unknown coefficients and computation of a finite number of unknown Fourier coefficients. Computational experiment confirms the robustness of the method for the approximate computation of the Dirac delta function and Green’s function.
MSC:
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 35A08 | Fundamental solutions to PDEs |
Keywords:
wave propagation; radially multilayered cylinder; Green’s functions; analytical method; simulationReferences:
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