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Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form

dc.contributor.authorAkyuz-Dascioglu, Aysegul
dc.contributor.authorAcar, Nese Isler
dc.contributor.authorGuler, Coskun
dc.date.accessioned2026-06-27T13:30:35Z
dc.date.issued2014
dc.description.abstractA collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm- Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearization technique. Some numerical examples are also given to demonstrate the applicability, accuracy, and efficiency of the proposed method.en
dc.description.sponsorshipScientific Research Project Coordination Unit of Pamukkale University [2012FBE036]
dc.description.urihttps://doi.org/10.1155/2014/134272
dc.identifier.doi10.1155/2014/134272
dc.identifier.eissn1687-0042
dc.identifier.issn1110-757X
dc.identifier.urihttps://hdl.handle.net/20.500.14981/53362
dc.identifier.wos000343443200001
dc.language.isoeng
dc.publisherHINDAWI PUBLISHING CORPORATION
dc.relation.ispartofJOURNAL OF APPLIED MATHEMATICS
dc.rightsopenAccess
dc.subjectQUASI-LINEARIZATION
dc.subjectNUMERICAL-SOLUTION
dc.subjectINTEGRAL-EQUATIONS
dc.subjectITERATIVE METHODS
dc.subjectSERIES SOLUTION
dc.subjectAPPROXIMATION
dc.subjectPOLYNOMIALS
dc.subjectMathematics
dc.titleBernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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