Modified operational matrix method for second-order nonlinear ordinary differential equations with quadratic and cubic terms

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dc.contributor.authorGürbüz B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:07:18Z
dc.date.available2024-07-22T08:07:18Z
dc.date.issued2020
dc.description.abstractIn this study, by means of the matrix relations between the Laguerre polynomials, and their derivatives, a novel matrix method based on collocation points is modified and developed for solving a class of second-order nonlinear ordinary differential equations having quadratic and cubic terms, via mixed conditions. The method reduces the solution of the nonlinear equation to the solution of a matrix equation corresponding to system of nonlinear algebraic equations with the unknown Laguerre coefficients. Also, some illustrative examples along with an error analysis based on residual function are included to demonstrate the validity and applicability of the proposed method. © 2020 Balikesir University. All rights reserved.
dc.identifier.DOI-ID10.11121/IJOCTA.01.2020.00827
dc.identifier.issn21460957
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13915
dc.language.isoEnglish
dc.publisherBalikesir University
dc.rightsAll Open Access; Gold Open Access
dc.titleModified operational matrix method for second-order nonlinear ordinary differential equations with quadratic and cubic terms
dc.typeArticle

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