Series solution for a delay differential equation arising in electrodynamics

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dc.contributor.authorKocak, Hueseyin
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2019-10-27T20:48:23Z
dc.date.available2019-10-27T20:48:23Z
dc.date.issued2009
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, the pantograph equation is investigated using the homotopy perturbation and variational iteration methods. The pantograph equation is a delay differential equation that arises in quite different fields of pure and applied mathematics, such as number theory, dynamical systems, probability, mechanics and electrodynamics. The procedure of present methods are based on the search for a solution in the form of a series with easily computed components. Application of these techniques to this problem shows the rapid convergence of the sequence constructed by these methods to the exact solution. Moreover, this technique reduces the volume of calculations by not requiring discretization of the variables, linearization or small perturbations. Copyright (C) 2009 John Wiley & Sons, Ltd.en_US
dc.identifier.doi10.1002/cnm.1288
dc.identifier.endpage1096en_US
dc.identifier.issn1069-8299
dc.identifier.issn1069-8299en_US
dc.identifier.issue11en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage1084en_US
dc.identifier.urihttps://doi.org/10.1002/cnm.1288
dc.identifier.urihttps://hdl.handle.net/11454/42701
dc.identifier.volume25en_US
dc.identifier.wosWOS:000271777600002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherJohn Wiley & Sons Ltden_US
dc.relation.ispartofCommunications in Numerical Methods in Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectdelay differential equationsen_US
dc.subjectthe homotopy perturbation methoden_US
dc.subjectthe variational iteration methoden_US
dc.titleSeries solution for a delay differential equation arising in electrodynamicsen_US
dc.typeArticleen_US

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