Performance Analysis of Zhao and Durbin Numerical Inversion Methods of Laplace Transform

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dc.contributor.authorYildirim, Sefa
dc.date.accessioned2026-01-24T12:01:03Z
dc.date.available2026-01-24T12:01:03Z
dc.date.issued2023
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThe Laplace transform is essential to satisfy the independence of time for the analysis of the transient response of the composite or functionally-graded materials. The time independent boundary value problem may be solved then either by numerically or analytically. The solutions should be inverted to the physical plane using inverse Laplace transform. Therefore, the selected numerical inversion method may be crucial to obtain the high accuracy throughout the whole analysis steps. In the present study, Zhao’s Method I, Zhao’s Method II, Durbin’s Method and Modified Durbin’s Method are applied to dynamic loading conditions. The analysis results show that the accurate and stable solutions even for long time inversion have been obtained by Modified Durbin’s Method and Zhao’s Methods. However, compared with the methods of Zhao’s, the computational and programing load of Durbin’s Methods are minimum.
dc.identifier.doi10.21605/cukurovaumfd.1334117
dc.identifier.endpage513
dc.identifier.issn2757-9255
dc.identifier.issue2
dc.identifier.startpage507
dc.identifier.trdizinid1191662
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1191662
dc.identifier.urihttps://doi.org/10.21605/cukurovaumfd.1334117
dc.identifier.urihttps://hdl.handle.net/20.500.12868/3945
dc.identifier.volume38
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofÇukurova Üniversitesi Mühendislik Fakültesi dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR-Dizin_20260121
dc.subjectLaplace transform
dc.subjectComposite materials
dc.subjectNumerical inversion
dc.subjectTransient analysis
dc.titlePerformance Analysis of Zhao and Durbin Numerical Inversion Methods of Laplace Transform
dc.typeArticle

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