An Iterative Algorithm for Robust Simulation of the Sylvester Matrix Differential Equations
| dc.contributor.author | Beik, Samaneh Panjeh Ali | |
| dc.contributor.author | Torkzadeh, Leila | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nouri, Kazem | |
| dc.date.accessioned | 2021-01-05T11:38:50Z | |
| dc.date.accessioned | 2025-09-18T16:07:09Z | |
| dc.date.available | 2021-01-05T11:38:50Z | |
| dc.date.available | 2025-09-18T16:07:09Z | |
| dc.date.issued | 2020 | |
| dc.description | Torkzadeh, Leila/0000-0002-2504-4048; Panjeh Ali Beik, Samaneh/0000-0002-6559-3279; Nouri, Kazem/0000-0002-7922-5848 | en_US |
| dc.description.abstract | This paper proposes a new effective pseudo-spectral approximation to solve the Sylvester and Lyapunov matrix differential equations. The properties of the Chebyshev basis operational matrix of derivative are applied to convert the main equation to the matrix equations. Afterwards, an iterative algorithm is examined for solving the obtained equations. Also, the error analysis of the propounded method is presented, which reveals the spectral rate of convergence. To illustrate the effectiveness of the proposed framework, several numerical examples are given. | en_US |
| dc.identifier.citation | Nouri, Kazem...et al. (20209. "An iterative algorithm for robust simulation of the Sylvester matrix differential equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02757-z | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85086335066 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02757-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14666 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Sylvester Matrix Differential Equations | en_US |
| dc.subject | Iterative Algorithm | en_US |
| dc.subject | Chebyshev Polynomials | en_US |
| dc.subject | Coupled Linear Matrix Equations | en_US |
| dc.subject | Collocation Method | en_US |
| dc.title | An Iterative Algorithm for Robust Simulation of the Sylvester Matrix Differential Equations | en_US |
| dc.title | An iterative algorithm for robust simulation of the Sylvester matrix differential equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Torkzadeh, Leila/0000-0002-2504-4048 | |
| gdc.author.id | Panjeh Ali Beik, Samaneh/0000-0002-6559-3279 | |
| gdc.author.id | Nouri, Kazem/0000-0002-7922-5848 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nouri, Kazem/Hge-0958-2022 | |
| gdc.author.wosid | Beik, Samaneh/Aap-9385-2020 | |
| gdc.author.wosid | Torkzadeh, Leila/Hkn-6325-2023 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nouri, Kazem; Torkzadeh, Leila] Semnan Univ, Fac Math Stat & Comp Sci, Dept Math, Semnan, Iran; [Beik, Samaneh Panjeh Ali] Natl Ctr Med Educ Assessment, Tehran, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, 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 |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Sylvester matrix differential equations | |
| gdc.oaire.keywords | Coupled linear matrix equations | |
| gdc.oaire.keywords | Iterative algorithm | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Chebyshev polynomials | |
| gdc.oaire.keywords | Collocation method | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Iterative numerical methods for linear systems | |
| gdc.oaire.keywords | iterative algorithm | |
| gdc.oaire.keywords | Matrix equations and identities | |
| gdc.oaire.keywords | coupled linear matrix equations | |
| gdc.oaire.keywords | collocation method | |
| gdc.oaire.keywords | Numerical methods for matrix equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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