A New Jacobi Rational-Gauss Collocation Method For Numerical Solution of Generalized Pantograph Equations
dc.contributor.author | Doha, E. H. | |
dc.contributor.author | Bhrawy, A. H. | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Hafez, R. M. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2020-05-03T20:53:40Z | |
dc.date.available | 2020-05-03T20:53:40Z | |
dc.date.issued | 2014 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
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. | en_US |
dc.description.publishedMonth | 3 | |
dc.identifier.doi | 10.1016/j.apnum.2013.11.003 | |
dc.identifier.endpage | 54 | en_US |
dc.identifier.issn | 0168-9274 | |
dc.identifier.issn | 1873-5460 | |
dc.identifier.startpage | 43 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/3599 | |
dc.identifier.volume | 77 | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Applied Numerical Mathematics | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Functional Differential Equations | en_US |
dc.subject | Pantograph Equation | en_US |
dc.subject | Collocation Method | en_US |
dc.subject | Jacobi Rational-Gauss Quadrature | en_US |
dc.subject | Jacobi Rational Function | en_US |
dc.title | A New Jacobi Rational-Gauss Collocation Method For Numerical Solution of Generalized Pantograph Equations | tr_TR |
dc.title | A New Jacobi Rational-Gauss Collocation Method for Numerical Solution of Generalized Pantograph Equations | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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