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

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dc.contributor.author Doha, E. H.
dc.contributor.author Bhrawy, A. H.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Hafez, R. M.
dc.date.accessioned 2020-05-03T20:53:40Z
dc.date.available 2020-05-03T20:53:40Z
dc.date.issued 2014-03
dc.identifier.issn 0168-9274
dc.identifier.issn 1873-5460
dc.identifier.uri http://hdl.handle.net/20.500.12416/3599
dc.description.abstract This 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier tr_TR
dc.relation.isversionof 10.1016/j.apnum.2013.11.003 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Functional Differential Equations tr_TR
dc.subject Pantograph Equation tr_TR
dc.subject Collocation Method tr_TR
dc.subject Jacobi Rational-Gauss Quadrature tr_TR
dc.subject Jacobi Rational Function tr_TR
dc.title A New Jacobi Rational-Gauss Collocation Method For Numerical Solution of Generalized Pantograph Equations tr_TR
dc.type article tr_TR
dc.relation.journal Applied Numerical Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 77 tr_TR
dc.identifier.startpage 43 tr_TR
dc.identifier.endpage 54 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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