Lucas Polynomial Approach for Second Order Nonlinear Differential Equations

Simple item page
dc.contributor.authorSevin GÜMGÜM
dc.contributor.authorÖmür Kıvanç KÜRKÇÜ
dc.contributor.authorNurcan BAYKU S SAVA SANER IL
dc.contributor.authorMehmet SEZER
dc.date.accessioned2024-07-24T09:12:22Z
dc.date.available2024-07-24T09:12:22Z
dc.date.issued2020
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.identifier.DOI-ID10.19113/sdufenbed.546847
dc.identifier.issn1300-7688
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/24429
dc.language.isoeng
dc.titleLucas Polynomial Approach for Second Order Nonlinear Differential Equations
dc.typeAraştırma Makalesi

Files

Collections

TR-Dizin Koleksiyonu