Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations

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dc.contributor.authorGürbüz B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:08:00Z
dc.date.available2024-07-22T08:08:00Z
dc.date.issued2020
dc.description.abstractIn this study, an improved matrix method based on collocation points is developed to obtain the approximate solutions of systems of high-order pantograph type delay differential equations with variable coefficients. These kinds of systems described by the existence of linear functional argument play a critical role in defining many different phenomena and particularly, arise in industrial applications and in studies based on biology, economy, electrodynamics, physics and chemistry. The technique we have used reduces the mentioned delay system solution with the initial conditions to the solution of a matrix equation with the unknown Laguerre coefficients. Thereby, the approximate solution is obtained in terms of Laguerre polynomials. In addition, several examples along with error analysis are given to illustrate the efficiency of the method; the obtained results are scrutinized and interpreted. © 2020, Springer Nature Switzerland AG.
dc.identifier.DOI-ID10.1007/978-3-030-39112-6_8
dc.identifier.issn21945357
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14208
dc.language.isoEnglish
dc.publisherSpringer
dc.subjectDifferential equations
dc.subjectMatrix algebra
dc.subjectPantographs
dc.subjectCollocation method
dc.subjectDelay differential equations
dc.subjectLaguerre polynomial
dc.subjectMatrix methods
dc.subjectPantograph equation
dc.subjectPolynomials
dc.titleLaguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations
dc.typeConference paper

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