Novel Numerical Approach for Time Fractional Equations With Nonlocal Condition
| dc.contributor.author | Deswal, Komal | |
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Taneja, Komal | |
| dc.date.accessioned | 2024-01-12T12:32:53Z | |
| dc.date.accessioned | 2025-09-18T13:27:22Z | |
| dc.date.available | 2024-01-12T12:32:53Z | |
| dc.date.available | 2025-09-18T13:27:22Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | A numerical method for solving inhomogeneous nonlocal time fractional convection-diffusion-reaction equations with variable coefficients has been developed. The fractional time operator is taken in the sense of the modified operator with the Mittag-Leffler kernel. The numerical method is based on the modified Gauss elimination with Taylor's expansion. Through rigorous analysis, it has been proved that the given method is unconditionally stable and second-order convergent in space and time. The numerical results for three test problems illustrate the efficiency and validity of the theoretical estimates. | en_US |
| dc.description.sponsorship | UGC, New Delhi, India; CSIR, New Delhi, India [09/719(0096)/2019-EMR-I] | en_US |
| dc.description.sponsorship | AcknowledgementsThe authors appreciate the helpful feedback and ideas from the anonymous reviewers. The first author is grateful to UGC, New Delhi, India (award letter No. 1282/(CSIR-UGC NET JUNE 2019)) for providing financial support, and the second author is thankful to CSIR, New Delhi, India (award letter No. 09/719(0096)/2019-EMR-I). | en_US |
| dc.identifier.citation | Taneja, Komal;...et.al. (2023). "Novel Numerical Approach for Time Fractional Equations with Nonlocal Condition", Numerical Algorithms. | en_US |
| dc.identifier.doi | 10.1007/s11075-023-01614-w | |
| dc.identifier.issn | 1017-1398 | |
| dc.identifier.issn | 1572-9265 | |
| dc.identifier.scopus | 2-s2.0-85165962831 | |
| dc.identifier.uri | https://doi.org/10.1007/s11075-023-01614-w | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12916 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Numerical Algorithms | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Modified Operator With Mittag-Leffler Kernel | en_US |
| dc.subject | Fractional Convection-Diffusion-Reaction Equation | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Matrix Stability | en_US |
| dc.subject | Difference Schemes | en_US |
| dc.subject | Taylor'S Expansion | en_US |
| dc.subject | Modified Gauss Elimination | en_US |
| dc.title | Novel Numerical Approach for Time Fractional Equations With Nonlocal Condition | en_US |
| dc.title | Novel Numerical Approach for Time Fractional Equations with Nonlocal Condition | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Taneja, Komal; Deswal, Komal; Kumar, Devendra] Birla Inst Technol & Sci, Dept Math, Pilani 333031, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Bucharest 077125, Romania | en_US |
| gdc.description.endpage | 1433 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1413 | en_US |
| gdc.description.volume | 95 | en_US |
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| gdc.oaire.keywords | Initial-boundary value problems for linear first-order PDEs | |
| gdc.oaire.keywords | matrix stability | |
| gdc.oaire.keywords | difference schemes | |
| gdc.oaire.keywords | Taylor's expansion | |
| gdc.oaire.keywords | fractional convection-diffusion-reaction equation | |
| gdc.oaire.keywords | nonlocal condition | |
| gdc.oaire.keywords | Finite difference methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | modified operator with Mittag-Leffler kernel | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | modified Gauss elimination | |
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