Shifted Jacobi Spectral Collocation Method With Convergence Analysis for Solving Integro-Differential Equations and System of Integro-Differential Equations
| dc.contributor.author | Abdelkawy, Mohamed A. | |
| dc.contributor.author | Amin, Ahmed Z. M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Doha, Eid H. | |
| dc.date.accessioned | 2020-01-29T12:07:21Z | |
| dc.date.accessioned | 2025-09-18T12:09:04Z | |
| dc.date.available | 2020-01-29T12:07:21Z | |
| dc.date.available | 2025-09-18T12:09:04Z | |
| dc.date.issued | 2019 | |
| dc.description | Abdelkawy, Mohamed/0000-0002-9043-9644; Z .Amin, Ahmed/0000-0003-4044-3335 | en_US |
| dc.description.abstract | This article addresses the solution of multi-dimensional integro-differential equations (IDEs) by means of the spectral collocation method and taking the advantage of the properties of shifted Jacobi polynomials. The applicability and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is simple and very accurate. Furthermore, an error analysis is performed to verify the correctness and feasibility of the proposed method when solving IDE. | en_US |
| dc.identifier.citation | Doha, Eid H...et al. (2019). "Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations", Nonlinear Analysis-Modelling and Control, Vol. 24, No. 3, pp. 332-352. | en_US |
| dc.identifier.doi | 10.15388/NA.2019.3.2 | |
| dc.identifier.issn | 1392-5113 | |
| dc.identifier.issn | 2335-8963 | |
| dc.identifier.scopus | 2-s2.0-85067806053 | |
| dc.identifier.uri | https://doi.org/10.15388/NA.2019.3.2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11304 | |
| dc.language.iso | en | en_US |
| dc.publisher | inst Mathematics & informatics | en_US |
| dc.relation.ispartof | Nonlinear Analysis: Modelling and Control | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Spectral Collocation Method | en_US |
| dc.subject | Shifted Jacobi Polynomials | en_US |
| dc.subject | Jacobi-Gauss Quadrature | en_US |
| dc.title | Shifted Jacobi Spectral Collocation Method With Convergence Analysis for Solving Integro-Differential Equations and System of Integro-Differential Equations | en_US |
| dc.title | Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdelkawy, Mohamed/0000-0002-9043-9644 | |
| gdc.author.id | Z .Amin, Ahmed/0000-0003-4044-3335 | |
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| gdc.author.wosid | Amin, Ahmed/Aak-6677-2020 | |
| gdc.author.wosid | Doha, Eid/L-1723-2019 | |
| gdc.author.wosid | Abdelkawy, M/Aeb-7974-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Doha, Eid H.] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt; [Abdelkawy, Mohamed A.] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia; [Abdelkawy, Mohamed A.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [Amin, Ahmed Z. M.] CIC, Inst Engn, Dept Basic Sci, Giza, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 352 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 332 | en_US |
| gdc.description.volume | 24 | en_US |
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| gdc.oaire.keywords | integro-differential equation | |
| gdc.oaire.keywords | Orthogonal polynomials | |
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| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Integro-ordinary differential equations | |
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