Comparison of the results obtained by Iman transform with Laplace transform

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dc.contributor.authorOzdogan, Nihal
dc.date.accessioned2026-02-08T15:08:26Z
dc.date.available2026-02-08T15:08:26Z
dc.date.issued2024
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractMany processes in the real world are characterised by principles which are defined in the form of expressions involving rates of change. Mathematically, rates are derivatives and expressions are equations so we have differential equations. Differential equations play an important role for modelling many problems in different scientific fields. Sometimes, the calculations to solve these equations can be very complex and ultimately frustrating. For this reason, many integral transform methods were proposed by researchers. However, integral transform methods can give consistent solutions to many complex problems and have many application areas such as physics, mechanics, engineering, astronomy. In this work, two integral transforms, Iman transform and the well-known Laplace transform were studied comparatively to facilitate the solution of linear ordinary differential equations with constant coefficients. Applications of these two transforms show that these integral transform methods are closely related to each other.
dc.identifier.doi10.38088/jise.1497589
dc.identifier.endpage242
dc.identifier.issn2602-4217
dc.identifier.issue2
dc.identifier.startpage233
dc.identifier.trdizinid1294097
dc.identifier.urihttps://doi.org/10.38088/jise.1497589
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5030
dc.identifier.volume8
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofJournal of Innovative Science and Engineering (JISE)
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR-Dizin_20260207
dc.subjectLaplace Transform
dc.subjectIntegral Transform
dc.subjectIman Transform
dc.subjectDifferential Equations.
dc.titleComparison of the results obtained by Iman transform with Laplace transform
dc.typeArticle

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