Analytical Solutions of Nonlinear Klein-Gordon Equations Using Multistep Modified Reduced Differential Transform Method

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dc.contributor.authorChe Hussin, Che Haziqah
dc.contributor.authorMd Ismail, Ahmad Izani
dc.contributor.authorKılıçman, Adem
dc.contributor.authorAzmi, Amirah
dc.date.accessioned2019-09-08T11:12:09Z
dc.date.available2019-09-08T11:12:09Z
dc.date.issued2019en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractThis paper explores the approximate analytical solution of non-linear Klein-Gordon equations (NKGE) by using multistep modified reduced differential transform method (MMRDTM). Through this proposed strategy, the non-linear term is substituted by associating Adomian polynomials obtained by utilization of a multistep approach. The NKGE solutions can be obtained with a reduced number of computed terms. In addition, the approximate solutions converge rapidly in a wide time region. Three examples are provided to illustrate the effectiveness of the proposed method to obtain solutions for the NKGE. Graphical results are shown to represent the behavior of the solution so as to demonstrate the validity and accuracy of the MMRDTM.en_US
dc.description.sponsorshipMalaysian Ministry of Higher Education Universiti Malaysia Sabah Universiti Sains Malaysia 304/PMATHs/6315088en_US
dc.identifier.doi10.2298/TSCI181015045Cen_US
dc.identifier.endpageS326en_US
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.scopus2-s2.0-85065186346en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpageS317en_US
dc.identifier.urihttps://hdl.handle.net/11363/1439
dc.identifier.urihttps://doi.org/
dc.identifier.volume23en_US
dc.identifier.wosWOS:000465190400032en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherVINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIAen_US
dc.relation.ispartofTHERMAL SCIENCEen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectAdomian polynomialsen_US
dc.subjectmultistep approachen_US
dc.subjectNKGE reduced differential transform methoden_US
dc.subjectThermodynamicsen_US
dc.titleAnalytical Solutions of Nonlinear Klein-Gordon Equations Using Multistep Modified Reduced Differential Transform Methoden_US
dc.typeArticleen_US

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