A Numerical Method Based on Legendre Differentiation Matrices for Higher Order Odes
| dc.contributor.author | Biomy, M. | |
| dc.contributor.author | Kandil, S.A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | El-Kady, M. | |
| dc.contributor.author | Abdelhakem, M. | |
| dc.date.accessioned | 2022-03-04T12:22:17Z | |
| dc.date.accessioned | 2025-09-18T14:08:38Z | |
| dc.date.available | 2022-03-04T12:22:17Z | |
| dc.date.available | 2025-09-18T14:08:38Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This paper introduces a new method to obtain the spectral accuracy solutions to higher order differential equations and singularly perturbed boundary value problems (BVPs). Legendre polynomials (LPs) Pn (x) have been used and involved in straightforward implementation method. Asymptotic upper bound on the Legendre coefficients for the kt h derivatives are presented. Also, We detect the roundoff error effect in the Legendre matrices. The superiority of the suggested method became evident through some examples and applications. © 2020 NSP Natural Sciences Publishing Cor. | en_US |
| dc.identifier.citation | Abdelhakem, M...et al. (2020). "A numerical method based on legendre differentiation matrices for higher order odes", Information Sciences Letters, Vol. 9, No. 3, pp. 175-180. | en_US |
| dc.identifier.doi | 10.18576/isl/090303 | |
| dc.identifier.issn | 2090-9551 | |
| dc.identifier.issn | 2090-956X | |
| dc.identifier.scopus | 2-s2.0-85093909448 | |
| dc.identifier.uri | https://doi.org/10.18576/isl/090303 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13159 | |
| dc.language.iso | en | en_US |
| dc.publisher | Natural Sciences Publishing | en_US |
| dc.relation.ispartof | Information Sciences Letters | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Singularly Perturbed Boundary Value Problem | en_US |
| dc.subject | Differentiation Matrices | en_US |
| dc.subject | Higher Order Differential Equations | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.subject | Roundoff Error Analysis | en_US |
| dc.title | A Numerical Method Based on Legendre Differentiation Matrices for Higher Order Odes | en_US |
| dc.title | A numerical method based on legendre differentiation matrices for higher order odes | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Abdelhakem M., Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt, Canadian International College, School of Engineering, Basic Science Department, Cairo, Egypt; Biomy M., Department of Mathematics, Faculty of Science, Suez Canal University, Port-Said, Egypt, Department of Mathematics, College Of Sciences and Arts, Al-Ras, Al-Qassim University, Saudi Arabia; Kandil S.A., Canadian International College, School of Engineering, Basic Science Department, Cairo, Egypt; Baleanu D., Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania; El-Kady M., Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt, Canadian International College, School of Engineering, Basic Science Department, Cairo, Egypt | en_US |
| gdc.description.endpage | 180 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 175 | en_US |
| gdc.description.volume | 9 | en_US |
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| gdc.virtual.author | Baleanu, Dumitru | |
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