The investigation of the transient regimes in the nonlinear systems by the generalized classical method

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dc.authoridAbbasov, Tahmuraz/0000-0002-0290-8333
dc.authorwosidBahadır, Ahmet Refik/AAA-3878-2021
dc.authorwosidAbbasov, Tahmuraz/ABG-8739-2020
dc.contributor.authorAbbasov, T
dc.contributor.authorBahadir, AR
dc.date.accessioned2024-08-04T20:15:12Z
dc.date.available2024-08-04T20:15:12Z
dc.date.issued2005
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper presents the use of the generalized classical method (GCM) for solving linear and nonlinear differential equations. This method is based on the differential transformation (DT) technique. In the GCM, the solution of the nonlinear transient regimes in the physical processes can be written as a functional series with unknown coefficients. The series can be chosen to satisfy the initial and boundary conditions which represent the properties of the physical process. The unknown coefficients of the series are determined from the differential transformation of the nonlinear differential equation of the system. Therefore, the approximate solution of the nonlinear differential equation can be obtained as a closed-form series. The validity and efficiency of the GCM is shown using some transient regime problems in the electromechanics processes. The numerical results obtained by the present method are compared with the analytical solutions of the equations. It is shown that the results are found to be in good agreement with each other.en_US
dc.identifier.doi10.1155/MPE.2005.503
dc.identifier.endpage519en_US
dc.identifier.issn1024-123X
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-31044448954en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage503en_US
dc.identifier.urihttps://doi.org/10.1155/MPE.2005.503
dc.identifier.urihttps://hdl.handle.net/11616/94236
dc.identifier.wosWOS:000235932100003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.relation.ispartofMathematical Problems in Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject2-Dimensional Differential Transformen_US
dc.subjectEigenvalue Problemsen_US
dc.subjectEquationsen_US
dc.subjectBeamsen_US
dc.titleThe investigation of the transient regimes in the nonlinear systems by the generalized classical methoden_US
dc.typeArticleen_US

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