Laguerre polynomial approach for solving Lane-Emden type functional differential equations

Simple item page
dc.contributor.authorGürbüz B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:15:32Z
dc.date.available2024-07-22T08:15:32Z
dc.date.issued2014
dc.description.abstractIn this paper, a numerical method, which is called the Laguerre collocation method, for the approximate solution of Lane-Emden type functional differential equations in terms of Laguerre polynomials are derived. The method is based on the matrix relations of Laguerre polynomials and their derivatives, and reduces the solution of the Lane-Emden type functional differential equation to the solution of a matrix equation corresponding to system of algebraic equations with the unknown Laguerre coefficients. Also, some illustrative examples are included to demonstrate the validity and applicability of the proposed method. © 2014 Elsevier Inc. All rights reserved.
dc.identifier.DOI-ID10.1016/j.amc.2014.05.058
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16741
dc.language.isoEnglish
dc.publisherElsevier Inc.
dc.subjectDifference equations
dc.subjectDifferential equations
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectCollocation method
dc.subjectDifferential-difference equations
dc.subjectLaguerre polynomial
dc.subjectLane-Emden equation
dc.subjectNumerical approaches
dc.subjectPolynomials
dc.titleLaguerre polynomial approach for solving Lane-Emden type functional differential equations
dc.typeArticle

Files

Collections

Scopus Koleksiyonu