Solution of initial and boundary value problems by the variational iteration method

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dc.contributor.authorAltıntan, Derya
dc.contributor.authorUğur, Ömür
dc.date.accessioned2020-03-26T18:58:30Z
dc.date.available2020-03-26T18:58:30Z
dc.date.issued2014
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThe Variational Iteration Method (VIM) is an iterative method that obtains the approximate solution of differential equations. In this paper, it is proven that whenever the initial approximation satisfies the initial conditions, vim obtains the solution of Initial Value Problems (IVPs) with a single iteration. By using this fact, we propose a new algorithm for Boundary Value Problems (BVPs): linear and nonlinear ones. Main advantage of the present method is that it does not use Green's function, however, it has the same effect that it produces the exact solution to linear problems within a single, but simpler, integral. In order to show the effectiveness of the method we give some examples including linear and nonlinear BVPs. (C) 2013 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.cam.2013.07.012en_US
dc.identifier.endpage797en_US
dc.identifier.issn0377-0427en_US
dc.identifier.issn1879-1778en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage790en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.cam.2013.07.012
dc.identifier.urihttps://hdl.handle.net/20.500.12395/31140
dc.identifier.volume259en_US
dc.identifier.wosWOS:000329376700049en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherELSEVIERen_US
dc.relation.ispartofJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectVariational iteration methoden_US
dc.subjectInitial value problemsen_US
dc.subjectBoundary value problemsen_US
dc.subjectGreen's functionen_US
dc.titleSolution of initial and boundary value problems by the variational iteration methoden_US
dc.typeArticleen_US

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