Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/7985
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dc.contributor.authorAkyuz Dascioglu, Ayşegül-
dc.contributor.authorİşler, Neşe-
dc.date.accessioned2019-08-16T12:34:04Z-
dc.date.available2019-08-16T12:34:04Z-
dc.date.issued2013-
dc.identifier.issn1300-686X-
dc.identifier.urihttps://hdl.handle.net/11499/7985-
dc.description.abstractIn this study, a collocation method based on Bernstein polynomials is developed for solution of the nonlinear ordinary differential equations with variable coefficients, under the mixed conditions. These equations are expressed as linear ordinary differential equations via quasilinearization method iteratively. By using the Bernstein collocation method, solutions of these linear equations are approximated. Combining the quasilinearization and the Bernstein collocation methods, the approximation solution of nonlinear differential equations is obtained. Moreover, some numerical solutions are given to illustrate the accuracy and implementation of the method.en_US
dc.language.isoenen_US
dc.relation.ispartofMathematical and Computational Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBernstein polynomial approximationen_US
dc.subjectCollocation methoden_US
dc.subjectNonlinear differential equationsen_US
dc.subjectQuasilinearization techniqueen_US
dc.subjectApproximation solutionen_US
dc.subjectLinear ordinary differential equationsen_US
dc.subjectNonlinear differential equationen_US
dc.subjectNonlinear ordinary differential equationen_US
dc.subjectQuasi-linearizationen_US
dc.subjectQuasi-linearization methodsen_US
dc.subjectVariable coefficientsen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectPolynomial approximationen_US
dc.subjectIterative methodsen_US
dc.titleBernstein collocation method for solving nonlinear differential equationsen_US
dc.typeArticleen_US
dc.identifier.volume18en_US
dc.identifier.issue3en_US
dc.identifier.startpage293en_US
dc.identifier.endpage300en_US
dc.authorid0000-0001-8931-6930-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopus2-s2.0-84884252633en_US
dc.identifier.trdizinid233440en_US
dc.identifier.scopusqualityQ1-
dc.ownerPamukkale University-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.openairetypeArticle-
crisitem.author.dept17.04. Mathematics-
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection
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