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https://hdl.handle.net/11499/7985
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Akyuz Dascioglu, Ayşegül | - |
dc.contributor.author | İşler, Neşe | - |
dc.date.accessioned | 2019-08-16T12:34:04Z | - |
dc.date.available | 2019-08-16T12:34:04Z | - |
dc.date.issued | 2013 | - |
dc.identifier.issn | 1300-686X | - |
dc.identifier.uri | https://hdl.handle.net/11499/7985 | - |
dc.description.abstract | In 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.iso | en | en_US |
dc.relation.ispartof | Mathematical and Computational Applications | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Bernstein polynomial approximation | en_US |
dc.subject | Collocation method | en_US |
dc.subject | Nonlinear differential equations | en_US |
dc.subject | Quasilinearization technique | en_US |
dc.subject | Approximation solution | en_US |
dc.subject | Linear ordinary differential equations | en_US |
dc.subject | Nonlinear differential equation | en_US |
dc.subject | Nonlinear ordinary differential equation | en_US |
dc.subject | Quasi-linearization | en_US |
dc.subject | Quasi-linearization methods | en_US |
dc.subject | Variable coefficients | en_US |
dc.subject | Ordinary differential equations | en_US |
dc.subject | Polynomial approximation | en_US |
dc.subject | Iterative methods | en_US |
dc.title | Bernstein collocation method for solving nonlinear differential equations | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 18 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.startpage | 293 | en_US |
dc.identifier.endpage | 300 | en_US |
dc.authorid | 0000-0001-8931-6930 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopus | 2-s2.0-84884252633 | en_US |
dc.identifier.trdizinid | 233440 | en_US |
dc.identifier.scopusquality | Q1 | - |
dc.owner | Pamukkale University | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
crisitem.author.dept | 17.04. 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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