A New Jacobi Rational-Gauss Collocation Method for Numerical Solution of Generalized Pantograph Equations
| dc.contributor.author | Bhrawy, A. H. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Hafez, R. M. | |
| dc.contributor.author | Doha, E. H. | |
| dc.date.accessioned | 2020-05-03T20:53:40Z | |
| dc.date.accessioned | 2025-09-18T16:07:31Z | |
| dc.date.available | 2020-05-03T20:53:40Z | |
| dc.date.available | 2025-09-18T16:07:31Z | |
| dc.date.issued | 2014 | |
| dc.description | Doha, Eid/0000-0002-7781-6871; Hafez, Ramy/0000-0001-9533-3171 | 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.identifier.doi | 10.1016/j.apnum.2013.11.003 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-84888631283 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2013.11.003 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14775 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| 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 | en_US |
| dc.title | A New Jacobi Rational-Gauss Collocation Method For Numerical Solution of Generalized Pantograph Equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Doha, Eid/0000-0002-7781-6871 | |
| gdc.author.id | Hafez, Ramy/0000-0001-9533-3171 | |
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| gdc.author.wosid | Doha, Eid/L-1723-2019 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hafez, Ramy/Aaa-5936-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Doha, E. H.] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt; [Bhrawy, A. H.] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia; [Bhrawy, A. H.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf 62511, Egypt; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Baleanu, D.] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Hafez, R. M.] Modern Acad, Inst Informat Technol, Dept Basic Sci, Cairo 11931, Egypt | en_US |
| gdc.description.endpage | 54 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 43 | en_US |
| gdc.description.volume | 77 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | functional differential equations | |
| gdc.oaire.keywords | pantograph equation | |
| gdc.oaire.keywords | collocation method | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | Jacobi rational-Gauss quadrature | |
| gdc.oaire.keywords | Jacobi rational function | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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