Approximating System of Ordinary Differential-Algebraic Equations Via Derivative of Legendre Polynomials Operational Matrices
| dc.contributor.author | Abdelhakem, M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Agarwal, P. | |
| dc.contributor.author | Moussa, Hanaa | |
| dc.date.accessioned | 2024-02-01T12:48:47Z | |
| dc.date.accessioned | 2025-09-18T15:45:05Z | |
| dc.date.available | 2024-02-01T12:48:47Z | |
| dc.date.available | 2025-09-18T15:45:05Z | |
| dc.date.issued | 2023 | |
| dc.description | Agarwal, Praveen/0000-0001-7556-8942; Abdelhakem, Mohamed/0000-0001-7085-1685; Moussa, Hanaa/0000-0001-9181-0284 | en_US |
| dc.description.abstract | Legendre polynomials' first derivatives have been used as the basis function via the pseudo-Galerkin spectral method. Operational matrices for derivatives have been used and extended to deal with the system of ordinary differential-algebraic equations. An algorithm via those matrices has been designed. The accuracy and efficiency of the proposed algorithm had been shown by two techniques, theoretically, via the boundedness of the approximated expansion and numerically through numerical examples. | en_US |
| dc.description.sponsorship | Helwan School of Numerical Analysis in Egypt | en_US |
| dc.description.sponsorship | The authors would like to thank the anonymous reviewers for carefully reading the paper and also for their constructive and valuable comments, which have improved the paper in its present form. The authors are also sincerely grateful to the Helwan School of Numerical Analysis in Egypt (HSNAE) members for their valuable e (R) ort and support. | en_US |
| dc.identifier.citation | Abdelhakem M.;...et.al. (2023). "Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices", International Journal of Modern Physics C, Vol.34, No.3. | en_US |
| dc.identifier.doi | 10.1142/S0129183123500365 | |
| dc.identifier.issn | 0129-1831 | |
| dc.identifier.issn | 1793-6586 | |
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| dc.identifier.uri | https://doi.org/10.1142/S0129183123500365 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14478 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Modern Physics C | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Spectral Approximation | en_US |
| dc.subject | Pseudo-Galerkin Spectral Method | en_US |
| dc.subject | Operational Matrices | en_US |
| dc.subject | First Derivatives Legendre Polynomials | en_US |
| dc.subject | Ordinary Differential-Algebraic Equations | en_US |
| dc.subject | Global Error Analysis | en_US |
| dc.title | Approximating System of Ordinary Differential-Algebraic Equations Via Derivative of Legendre Polynomials Operational Matrices | en_US |
| dc.title | Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Agarwal, Praveen/0000-0001-7556-8942 | |
| gdc.author.id | Abdelhakem, Mohamed/0000-0001-7085-1685 | |
| gdc.author.id | Moussa, Hanaa/0000-0001-9181-0284 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Agarwal, Praveen/I-7327-2012 | |
| gdc.author.wosid | Abdelhakem, Mohamed/Aaf-6816-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdelhakem, M.] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt; [Abdelhakem, M.; Moussa, Hanaa] Canadian Int Coll, Sch Engn, Basic Sci Dept, New Cairo, Egypt; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Baleanu, D.] Lebanese Amer Univ, Beirut, Lebanon; [Agarwal, P.] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India; [Agarwal, P.] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates | 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.volume | 34 | en_US |
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