Yakhno, V.Ersoy Özdek, Demet2023-06-162023-06-1620150219-87621793-6969https://doi.org/10.1142/S0219876215500279https://hdl.handle.net/20.500.14365/2141In 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.eninfo:eu-repo/semantics/closedAccessWave propagationradially multilayered cylinderGreen's functionsanalytical methodsimulationCylindrically Monoclinic MaterialTime-Domain BemFinite-DifferenceElement-MethodAnisotropic SolidsElastic-WavesFundamental-SolutionsMediaPropagationFormulationArticle10.1142/S02198762155002792-s2.0-84943580623