Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields

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dc.contributor.authorGürbüz B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:11:55Z
dc.date.available2024-07-22T08:11:55Z
dc.date.issued2016
dc.description.abstractIn this study, we consider high-order nonlinear ordinary differential equations with the initial and boundary conditions. These kinds of differential equations are essential tools for modelling problems in physics, biology, neurology, engineering, ecology, economy, astrophysics, physiology and so forth. Each of the mentioned problems are described by one of the following equations with the specific physical conditions: Riccati, Duffing, EmdenFowler, Lane Emden type equations. We seek the approximate solution of these special differential equations by means of a operational matrix technique, called the Laguerre collocation method. The proposed method is based on the Laguerre series expansion and the collocation points. By using the method, the mentioned special differential equations together with conditions are transformed into a matrix form which corresponds to a system of nonlinear algebraic equations with unknown Laguerre coefficients, and thereby the problem is approximately solved in terms of Laguerre polynomials. In addition, some numerical examples are presented to demonstrate the efficiency of the proposed method and the obtained results are compared with the existing results in literature.
dc.identifier.DOI-ID10.12693/APhysPolA.130.194
dc.identifier.issn05874246
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15842
dc.language.isoEnglish
dc.publisherPolish Academy of Sciences
dc.rightsAll Open Access; Bronze Open Access
dc.subjectAlgebra
dc.subjectAstrophysics
dc.subjectBoundary conditions
dc.subjectBoundary value problems
dc.subjectDifferential equations
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectOrdinary differential equations
dc.subjectPolynomials
dc.subjectRiccati equations
dc.subjectApproximate solution
dc.subjectInitial and boundary conditions
dc.subjectLane-Emden type equations
dc.subjectNonlinear algebraic equations
dc.subjectNonlinear ordinary differential equation
dc.subjectOperational matrices
dc.subjectPhysical conditions
dc.subjectScience and engineering
dc.subjectNonlinear equations
dc.titleLaguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields
dc.typeConference paper

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