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.accessioned2024-07-18T11:49:43Z
dc.date.available2024-07-18T11:49:43Z
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, Emden-Fowler, 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.issn0587-4246
dc.identifier.other1898-794X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/4241
dc.language.isoEnglish
dc.publisherPOLISH ACAD SCIENCES INST PHYSICS
dc.subjectDIFFERENTIAL TRANSFORM METHOD
dc.subjectEQUATIONS
dc.subjectSOLVE
dc.titleLaguerre Polynomial Solutions of a Class of Initial and Boundary Value Problems Arising in Science and Engineering Fields
dc.typeArticle; Proceedings Paper

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