An Efficient Numerical Method for Fractional Sir Epidemic Model of Infectious Disease by Using Bernstein Wavelets
| dc.contributor.author | Ahmadian, Ali | |
| dc.contributor.author | Kumar, Ranbir | |
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Singh, Jagdev | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Salimi, Mehdi | |
| dc.contributor.author | Kumar, Sunil | |
| dc.date.accessioned | 2021-01-28T12:22:44Z | |
| dc.date.accessioned | 2025-09-18T14:10:32Z | |
| dc.date.available | 2021-01-28T12:22:44Z | |
| dc.date.available | 2025-09-18T14:10:32Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumar, Dr. Sunil/0000-0003-0620-1068; Ahmadian, Ali/0000-0002-0106-7050; Salimi, Mehdi/0000-0002-6537-6346 | en_US |
| dc.description.abstract | In this paper, the operational matrix based on Bernstein wavelets is presented for solving fractional SIR model with unknown parameters. The SIR model is a system of differential equations that arises in medical science to study epidemiology and medical care for the injured. Operational matrices merged with the collocation method are used to convert fractional-order problems into algebraic equations. The Adams-Bashforth-Moulton predictor correcter scheme is also discussed for solving the same. We have compared the solutions with the Adams-Bashforth predictor correcter scheme for the accuracy and applicability of the Bernstein wavelet method. The convergence analysis of the Bernstein wavelet has been also discussed for the validity of the method. | en_US |
| dc.description.sponsorship | SERB, Government of India [EEQ/2017/000385] | en_US |
| dc.description.sponsorship | This research was funded by SERB, Government of India, grant number EEQ/2017/000385. | en_US |
| dc.identifier.citation | Kumar, Sunil...et al. (2020). "An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets", Mathematics, Vol. 8, No. 4. | en_US |
| dc.identifier.doi | 10.3390/math8040558 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85084481706 | |
| dc.identifier.uri | https://doi.org/10.3390/math8040558 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13722 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Bernstein Wavelets | en_US |
| dc.subject | Operational Matrix | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Adams-Bashforth-Moulton Predictor Correcter Scheme | en_US |
| dc.title | An Efficient Numerical Method for Fractional Sir Epidemic Model of Infectious Disease by Using Bernstein Wavelets | en_US |
| dc.title | An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Kumar, Dr. Sunil/0000-0003-0620-1068 | |
| gdc.author.id | Ahmadian, Ali/0000-0002-0106-7050 | |
| gdc.author.id | Salimi, Mehdi/0000-0002-6537-6346 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Kumar, Sunil/P-7519-2015 | |
| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
| gdc.author.wosid | Salimi, Mehdi/Abe-9446-2021 | |
| gdc.author.wosid | Ahmadian, Ali/N-3697-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumar, Sunil; Kumar, Ranbir] Natl Inst Technol, Dept Math, Jharkhand 831014, India; [Ahmadian, Ali] Natl Univ Malaysia, Inst Ind Revolut 4 0, Ukm Bangi 43600, Selangor, Malaysia; [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India; [Singh, Jagdev] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Eskisehir Yolu 29, TR-06790 Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Salimi, Mehdi] Tech Univ Dresden, Dept Math, Ctr Dynam & Inst Anal, D-01069 Dresden, Germany | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 558 | |
| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | Bernstein wavelets | |
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