Fractional Spectral Differentiation Matrices Based on Legendre Approximation
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ghorbani, Asghar | |
| dc.date.accessioned | 2021-01-29T11:15:46Z | |
| dc.date.accessioned | 2025-09-18T12:05:44Z | |
| dc.date.available | 2021-01-29T11:15:46Z | |
| dc.date.available | 2025-09-18T12:05:44Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | A simple scheme is proposed for computing NxN spectral differentiation matrices of fractional order alpha for the case of Legendre approximation. The algorithm derived here is based upon a homogeneous three-term recurrence relation and is numerically stable. The matrices are then applied to numerically differentiate. | en_US |
| dc.identifier.citation | Ghorbani, Asghar; Baleanu, Dumitru (2020). "Fractional spectral differentiation matrices based on Legendre approximation", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02590-4 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85082579459 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02590-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10704 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Spectral Differentiation Matrices | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.subject | Numerical Differentiation | en_US |
| dc.title | Fractional Spectral Differentiation Matrices Based on Legendre Approximation | en_US |
| dc.title | Fractional spectral differentiation matrices based on Legendre approximation | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ghorbani, Asghar] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Razavi Khorasan, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Legendre polynomials | |
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| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
| gdc.oaire.keywords | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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