A Novel Finite Difference Based Numerical Approach for Modified Atangana-Baleanu Caputo Derivative
| dc.contributor.author | Deswal, Komal | |
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Chawla, Reetika | |
| dc.date.accessioned | 2024-02-12T12:31:40Z | |
| dc.date.accessioned | 2025-09-18T16:07:19Z | |
| dc.date.available | 2024-02-12T12:31:40Z | |
| dc.date.available | 2025-09-18T16:07:19Z | |
| dc.date.issued | 2022 | |
| dc.description | Chawla, Reetika/0000-0003-2555-2488 | en_US |
| dc.description.abstract | In this paper, a new approach is presented to investigate the time-fractional advection-dispersion equation that is extensively used to study transport processes. The present modified fractional derivative operator based on Atangana-Baleanu's definition of a derivative in the Caputo sense involves singular and non-local kernels. A numerical approximation of this new modified fractional operator is provided and applied to an advection-dispersion equation. Through Fourier analysis, it has been proved that the proposed scheme is unconditionally stable. Numerical examples are solved that validate the theoretical results presented in this paper and ensure the proficiency of the numerical scheme. | en_US |
| dc.description.sponsorship | Council of Scientific and Industrial Research (CSIR) , New Delhi, India [09/719 (0096) /2019-EMR-I] | en_US |
| dc.description.sponsorship | The authors present their sincere gratitude to the unknown reviewers for many valuable comments and corrections. The second author is grateful to Council of Scientific and Industrial Research (CSIR) , New Delhi, India (award letter No. 09/719 (0096) /2019-EMR-I). | en_US |
| dc.identifier.citation | Chawla, Reetika;...et.al. (2022). "A novel finite difference based numerical approach for Modified Atangana-Baleanu Caputo derivative", AIMS Mathematics, Vol.7, No.9, pp.17252-17268. | en_US |
| dc.identifier.doi | 10.3934/math.2022950 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022950 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14733 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Advection Dispersion Equation | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.title | A Novel Finite Difference Based Numerical Approach for Modified Atangana-Baleanu Caputo Derivative | en_US |
| dc.title | A novel finite difference based numerical approach for Modified Atangana-Baleanu Caputo derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Chawla, Reetika/0000-0003-2555-2488 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Chawla, Reetika; Deswal, Komal; Kumar, Devendra] Birla Inst Thchnol & Sci, Dept Math, Pilani 333031, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurle Bucharest 077125, Romania | en_US |
| gdc.description.endpage | 17268 | en_US |
| gdc.description.issue | 9 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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