Laguerre matrix-collocation technique to solve systems of functional differential equations with variable delays

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dc.authorid0000-0002-4253-5877en_US
dc.contributor.authorGürbüz, Burcu
dc.date.accessioned2024-07-12T20:54:54Z
dc.date.available2024-07-12T20:54:54Z
dc.date.issued2019en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractIn this study, a matrix method which depends on collocation points and Laguerre polynomials is developed for solving the approximate solutions of systems of high-order delay differential equations involving variable coefficients and variable delays. These kinds of systems characterized by the present functional delays and which explain many different phenomena and particularly, arise in studies based on biology, physics, chemistry, electrodynmics, and economy and in industrial applications. The proposed method reduces the solution of the mentioned delay system subject to the initial conditions to the solution of a matrix equation with the unknown Laguerre coefficients. Moreover, the approximate solution is obtained in terms of Laguerre polynomials. Besides, some examples along with different error techniques are performed to illustrate the applicability of the method; the obtained findings are scrutinized and interpreted.en_US
dc.identifier.citationGürbüz, B. (2019). Laguerre matrix-collocation technique to solve systems of functional differential equations with variable delays. International Conference of Mathematical Sciences (ICMS 2019). s. 164.en_US
dc.identifier.endpage165en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage164en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2824
dc.institutionauthorGürbüz, Burcu
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01385
dc.subjectCollocation methodsen_US
dc.subjectLaguerre polynomialsen_US
dc.subjectSystem of functional differential equationsen_US
dc.titleLaguerre matrix-collocation technique to solve systems of functional differential equations with variable delaysen_US
dc.typeArticle
dspace.entity.typePublication

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