On the numerical solution of differential-algebraic equations (DAEs) by Laguerre Polynomials approximation

dc.contributor.authorBayram, Mustafa
dc.date.accessioned2019-01-07T13:04:51Z
dc.date.available2019-01-07T13:04:51Z
dc.date.issued2016-12-01
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractIn this study, we investigate numerical solution of differential-algebraic equations (DAEs) using the Laguerre polynomials approximation. Two different problems are solved using the Laguerre polynomials approximation and the solutions are compared with the exact solutions. Firstly, we calculate the power series of a given equation system and then transform it into Laguerre polynomials approximation form, which gives an arbitrary order for solving the DAE numerically. Moreover, a Maple algorithm is developed for numerical solution of differential-algebraic equations (DAEs) with Laguerre polynomials approximation. In Maple Programming, we sketch graphs of obtained solutions, and are made tables to compare the solutions.en_US
dc.identifier.endpage68en_US
dc.identifier.issn2149-7168
dc.identifier.issue1en_US
dc.identifier.startpage58en_US
dc.identifier.urihttps://hdl.handle.net/11363/808
dc.identifier.volume1en_US
dc.language.isoenen_US
dc.publisherBISKA Bilişim Teknolojien_US
dc.relation.ispartofJournal of Abstract and Computational Mathematicsen_US
dc.relation.publicationcategoryKategori Yoken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectResearch Subject Categories::TECHNOLOGYen_US
dc.titleOn the numerical solution of differential-algebraic equations (DAEs) by Laguerre Polynomials approximationen_US
dc.typeArticleen_US

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