Browsing by Author "Yakhno, V."

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Citation - WoS: 1
Citation - Scopus: 1
Computing Green's Function of the Initial-Boundary Value Problem for the Wave Equation in a Layered Cylinder
(Taylor & Francis Ltd, 2014) Yakhno, V.; Ersoy Özdek, Demet
A new analytical method for the approximate computation of the time-dependent Green's function for the initial-boundary value problem of the three-dimensional wave equation on multi-layered bounded cylinder is suggested in this paper. The method is based on the derivation of eigenvalues and eigenfunctions for an ordinary differential equation with piecewise constant coefficients, and an approximate computation of Green's function in the form of the Fourier series with a finite number of terms relative to the orthogonal set of the derived eigenfunctions. The computational experiment confirms the robustness of the method.
Citation - WoS: 3
Citation - Scopus: 4
Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder
(World Scientific Publ Co Pte Ltd, 2015) Yakhno, V.; Ersoy Özdek, Demet
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.