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dc.contributor.authorÖMÜR KIVANÇ KÜRKÇÜ Mehmet SEZER Sevin GÜMGÜM Nurcan BAYKU S SAVA SANER IL
dc.date.accessioned2023-03-03T09:47:39Z
dc.date.available2023-03-03T09:47:39Z
dc.date.issued2020
dc.identifier.urihttp://hdl.handle.net/20.500.12481/18308
dc.description.abstractThis paper presents the Lucas polynomial solution of second-order nonlinearordinary differential equations with mixed conditions. Lucas matrix method is based oncollocation points together with truncated Lucas series. The main advantage of the methodis that it has a simple structure to deal with the nonlinear algebraic system obtained frommatrix relations. The method is applied to four problems. In the first two problems, exactsolutions are obtained. The last two problems, Bratu and Duffing equations are solvednumerically; the results are compared with the exact solutions and some other numericalsolutions. It is observed that the application of the method results in either the exact oraccurate numerical solutions.
dc.titleLucas Polynomial Approach for Second Order Nonlinear Differential Equations
dc.identifier.volume24
dc.identifier.startpage230
dc.identifier.endpage236
dc.identifier.issn/e-issn1308-6529


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  • TR - Dizin [3877]
    TR - Dizin İndeksli Yayınlar Koleksiyonu

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