Monic Chebyshev Pseudospectral Differentiation Matrices for Higher-Order Ivps and Bvps: Applications To Certain Types of Real-Life Problems
| dc.contributor.author | Abdelhakem, M. | |
| dc.contributor.author | Ahmed, A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | El-kady, M. | |
| dc.date.accessioned | 2024-04-25T07:36:08Z | |
| dc.date.accessioned | 2025-09-18T12:09:02Z | |
| dc.date.available | 2024-04-25T07:36:08Z | |
| dc.date.available | 2025-09-18T12:09:02Z | |
| dc.date.issued | 2022 | |
| dc.description | Abdelhakem, Mohamed/0000-0001-7085-1685 | en_US |
| dc.description.abstract | We introduce new differentiation matrices based on the pseudospectral collocation method. Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation matrices (D-matrices). Those matrices have been used to approximate the solutions of higher-order ordinary differential equations (H-ODEs). Two techniques will be used in this work. The first technique is a direct approximation of the H-ODE. While the second technique depends on transforming the H-ODE into a system of lower order ODEs. We discuss the error analysis of these D-matrices in-depth. Also, the approximation and truncation error convergence have been presented to improve the error analysis. Some numerical test functions and examples are illustrated to show the constructed D-matrices' efficiency and accuracy. | en_US |
| dc.description.sponsorship | Science, Technology & Innovation Funding Authority (STDF); Egyptian Knowledge Bank (EKB) | en_US |
| dc.description.sponsorship | Open access funding provided by The Science, Technology & Innovation Funding Authority (STDF) in cooperation with The Egyptian Knowledge Bank (EKB). This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. | en_US |
| dc.identifier.citation | Abdelhakem M.;...et.al. (2022). "Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems", Computational and Applied Mathematics, Vol.41,No.6. | en_US |
| dc.identifier.doi | 10.1007/s40314-022-01940-0 | |
| dc.identifier.issn | 2238-3603 | |
| dc.identifier.issn | 1807-0302 | |
| dc.identifier.scopus | 2-s2.0-85137538066 | |
| dc.identifier.uri | https://doi.org/10.1007/s40314-022-01940-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11286 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Computational and Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Monic Chebyshev Polynomials | en_US |
| dc.subject | Pseudospectral Differentiation Matrices | en_US |
| dc.subject | Convergence And Error Analysis | en_US |
| dc.subject | Higher-Order Ivps And Bvps | en_US |
| dc.subject | Mhd | en_US |
| dc.subject | Covid-19 | en_US |
| dc.title | Monic Chebyshev Pseudospectral Differentiation Matrices for Higher-Order Ivps and Bvps: Applications To Certain Types of Real-Life Problems | en_US |
| dc.title | Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Ahmed, Abdel Baset I./Aal-2769-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Elkady, Mamdouh/Jac-0033-2023 | |
| gdc.author.wosid | Abdelhakem, Mohamed/Aaf-6816-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdelhakem, M.; Ahmed, A.; El-kady, M.] Helwan Univ, Fac Sci, Dept Math, Cairo, Egypt; [Abdelhakem, M.; El-kady, M.] Canadian Int Coll CIC, 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 11022801, Lebanon | en_US |
| gdc.description.issue | 6 | en_US |
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| gdc.description.volume | 41 | en_US |
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| gdc.oaire.keywords | Other special orthogonal polynomials and functions | |
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