Hybrid Taylor-Lucas collocation method for numerical solution of high-order pantograph type delay differential equations with variables delays

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dc.contributor.authorBayku N.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:10:22Z
dc.date.available2024-07-22T08:10:22Z
dc.date.issued2017
dc.description.abstractIn this study we consider a higher-order linear nonhomogenous pantograph type delay differential equation with variable coefficients and variables delays, and propose a new collocation method based on hybrid Taylor and Lucas polynomials. The presented method transforms the delay differential equation with the initial and boundary conditions to a system of linear algebraic equations with the unknown Lucas coefficients; by finding Lucas coefficients easily, Lucas polynomial solutions are obtained. Also an error estimation technique based on residual function is developed for our method and applied to exiting problems. © 2017 NSP.
dc.identifier.DOI-ID10.18576/amis/110627
dc.identifier.issn19350090
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15207
dc.language.isoEnglish
dc.publisherNatural Sciences Publishing USA
dc.titleHybrid Taylor-Lucas collocation method for numerical solution of high-order pantograph type delay differential equations with variables delays
dc.typeArticle

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