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.accessioned2024-07-12T20:47:27Z
dc.date.available2024-07-12T20:47:27Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, a matrix method which depends on Laguerre polynomials and with collocation points 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 for the illustration of the method’s applicability; 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. Third International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.en_US
dc.identifier.endpage4en_US
dc.identifier.isbn978-0-7354-1930-8
dc.identifier.startpage1en_US
dc.identifier.urihttps://aip.scitation.org/doi/abs/10.1063/1.5136207
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2001
dc.institutionauthorGürbüz, Burcu
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofThird International Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/1.5136207en_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.snmzKY08634
dc.titleLaguerre matrix-collocation technique to solve systems of functional differential equations with variable delaysen_US
dc.typeConference Object
dspace.entity.typePublication

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