A Numerical Algorithm for Solving Nonlinear Delay Volterra Integral Equations by Means of Homotopy Perturbation Method

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dc.contributor.authorVanani, Solat Karimi
dc.contributor.authorYildirim, Ahmet
dc.contributor.authorSoleymani, F.
dc.contributor.authorKhan, M.
dc.date.accessioned2019-10-27T21:35:03Z
dc.date.available2019-10-27T21:35:03Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, the homotopy perturbation method (HPM) is applied to solve a general class of nonlinear delay Volterra integral equations (DVIEs). The main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to solve. We use the HPM to provide an approximate solution for the desired nonlinear DVIE in terms of convergent series with easily computable components. In addition, Legendre polynomials are implemented to solve complicated integrals arising in computations. We show that using Legendre polynomials reduces the volume of computations and runtime of the method. Finally, several numerical experiments are given to illustrate the pertinent features of the technique. The results demonstrate that the proposed method is of high accuracy, more convenient and efficient for solving nonlinear DVIEs.en_US
dc.identifier.doi10.1515/IJNSNS.2011.061
dc.identifier.endpage21en_US
dc.identifier.issn1565-1339
dc.identifier.issn1565-1339en_US
dc.identifier.issue01.Augen_US
dc.identifier.startpage15en_US
dc.identifier.urihttps://doi.org/10.1515/IJNSNS.2011.061
dc.identifier.urihttps://hdl.handle.net/11454/45764
dc.identifier.volume12en_US
dc.identifier.wosWOS:000301981700003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter & Coen_US
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear delay Volterra integral equationsen_US
dc.subjecthomotopy perturbation methoden_US
dc.titleA Numerical Algorithm for Solving Nonlinear Delay Volterra Integral Equations by Means of Homotopy Perturbation Methoden_US
dc.typeArticleen_US

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