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A New Jacobi Rational-Gauss Collocation Method For Numerical Solution of Generalized Pantograph Equations

dc.contributor.authorDoha, E. H.
dc.contributor.authorBhrawy, A. H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorHafez, R. M.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-05-03T20:53:40Z
dc.date.available2020-05-03T20:53:40Z
dc.date.issued2014
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, a new spectral collocation method is applied to solve the generalized pantograph equation with variable coefficients on a semi-infinite domain. This method is based on Jacobi rational functions and Gauss quadrature integration. The Jacobi rational-Gauss method reduces solving the generalized pantograph equation to a system of algebraic equations. Reasonable numerical results are obtained by selecting few Jacobi rational-Gauss collocation points. The proposed Jacobi rational-Gauss method is favorably compared with other methods. Numerical results demonstrate its accuracy, efficiency, and versatility on the half-line. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.en_US
dc.description.publishedMonth3
dc.identifier.doi10.1016/j.apnum.2013.11.003
dc.identifier.endpage54en_US
dc.identifier.issn0168-9274
dc.identifier.issn1873-5460
dc.identifier.startpage43en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3599
dc.identifier.volume77en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofApplied Numerical Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFunctional Differential Equationsen_US
dc.subjectPantograph Equationen_US
dc.subjectCollocation Methoden_US
dc.subjectJacobi Rational-Gauss Quadratureen_US
dc.subjectJacobi Rational Functionen_US
dc.titleA New Jacobi Rational-Gauss Collocation Method For Numerical Solution of Generalized Pantograph Equationstr_TR
dc.titleA New Jacobi Rational-Gauss Collocation Method for Numerical Solution of Generalized Pantograph Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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