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A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions

dc.contributor.authorDoha, E. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBhrawy, A. H.
dc.contributor.authorHafez, R. M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-04-27T14:50:49Z
dc.date.available2020-04-27T14:50:49Z
dc.date.issued2014
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractA new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. A Legendre rational collocation method based on Legendre rational- Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations. In addition, accurate approximations are achieved by selecting few Legendre rational- Gauss collocation points. The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method. Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small.en_US
dc.identifier.doi10.1155/2014/816473
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3423
dc.language.isoenen_US
dc.publisherHindawi LTDen_US
dc.relation.ispartofAbstract and Applied Analysisen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLobatto Collacation Methoden_US
dc.titleA Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functionstr_TR
dc.titleA Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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