Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder
| dc.contributor.author | Yakhno, V. | |
| dc.contributor.author | Ersoy Özdek, Demet | |
| dc.date.accessioned | 2023-06-16T14:31:33Z | |
| dc.date.available | 2023-06-16T14:31:33Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | 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. | en_US |
| dc.identifier.doi | 10.1142/S0219876215500279 | |
| dc.identifier.issn | 0219-8762 | |
| dc.identifier.issn | 1793-6969 | |
| dc.identifier.scopus | 2-s2.0-84943580623 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219876215500279 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2141 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Internatıonal Journal of Computatıonal Methods | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Wave propagation | en_US |
| dc.subject | radially multilayered cylinder | en_US |
| dc.subject | Green's functions | en_US |
| dc.subject | analytical method | en_US |
| dc.subject | simulation | en_US |
| dc.subject | Cylindrically Monoclinic Material | en_US |
| dc.subject | Time-Domain Bem | en_US |
| dc.subject | Finite-Difference | en_US |
| dc.subject | Element-Method | en_US |
| dc.subject | Anisotropic Solids | en_US |
| dc.subject | Elastic-Waves | en_US |
| dc.subject | Fundamental-Solutions | en_US |
| dc.subject | Media | en_US |
| dc.subject | Propagation | en_US |
| dc.subject | Formulation | en_US |
| dc.title | Computing the Green's Function of the Initial Boundary Value Problem for the Wave Equation in a Radially Layered Cylinder | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Özdek, Demet/0000-0003-3877-6739 | |
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| gdc.author.wosid | Özdek, Demet/AAN-9577-2021 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Yakhno, V.] Dokuz Eylul Univ, Fac Engn, Dept Elect & Elect Engn, TR-35160 Izmir, Turkey; [Ozdek, D.] Dokuz Eylul Univ, Grad Sch Nat & Appl Sci, TR-35160 Izmir, Turkey; [Ozdek, D.] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 12 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2149102331 | |
| gdc.identifier.wos | WOS:000362682800006 | |
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| gdc.oaire.keywords | radially multilayered cylinder | |
| gdc.oaire.keywords | Fundamental solutions to PDEs | |
| gdc.oaire.keywords | wave propagation | |
| gdc.oaire.keywords | Green's functions | |
| gdc.oaire.keywords | analytical method | |
| gdc.oaire.keywords | Initial-boundary value problems for second-order hyperbolic equations | |
| gdc.oaire.keywords | simulation | |
| gdc.oaire.popularity | 1.5134753E-9 | |
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| gdc.oaire.sciencefields | 0203 mechanical engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0105 earth and related environmental sciences | |
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| gdc.virtual.author | Ersoy Özdek, Demet | |
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