A Higher-Order Approach for Time-Fractional Generalized Burgers' Equation
| dc.contributor.author | Deswal, Komal | |
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Taneja, Komal | |
| dc.date.accessioned | 2023-11-22T11:54:13Z | |
| dc.date.accessioned | 2025-09-18T12:48:15Z | |
| dc.date.available | 2023-11-22T11:54:13Z | |
| dc.date.available | 2025-09-18T12:48:15Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | A fast higher-order scheme is established for solving inhomogeneous time-fractional generalized Burgers' equation. The time-fractional operator is taken as the modified operator with the Mittag-Leffler kernel. Through stability analysis, it has been demonstrated that the proposed numerical approach is unconditionally stable. The convergence of the numerical method is analyzed theoretically using von Neumann's method. It has been proved that the proposed numerical method is fourth-order convergent in space and second-order convergent in time in the L-2-norm. The scheme's proficiency and effectiveness are examined through two numerical experiments to validate the theoretical estimates. The tabular and graphical representations of numerical results confirm the high accuracy and versatility of the scheme. | en_US |
| dc.description.sponsorship | UGC, New Delhi, India [1282/(CSIR-UGC NET JUNE 2019)]; CSIR, New Delhi, India [09/719(0096)/2019-EMR-I] | en_US |
| dc.description.sponsorship | The first author is grateful to UGC, New Delhi, India (award letter No. 1282/(CSIR-UGC NET JUNE 2019)), and the second author is thankful to CSIR, New Delhi, India (award letter No. 09/719(0096)/2019-EMR-I) for providing the financial support. We are also very grateful to the reviewers for carefully reading the paper, constructive comments, and valuable remarks, which significantly improved the quality of this paper. | en_US |
| dc.identifier.citation | Taneja, Komal...et al. (2023). "A Higher-Order Approach For Time-Fractional Generalized Burgers' Equation", Fractals-Complex Geometry Patterns And Scaling In Nature And Society, Vol.31, No.07 | en_US |
| dc.identifier.doi | 10.1142/S0218348X23500676 | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.scopus | 2-s2.0-85170202987 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X23500676 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12029 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.subject | Compact Finite Difference Method | en_US |
| dc.subject | Time-Fractional Generalized Burgers' Equation | en_US |
| dc.subject | Von-Neumann'S Method | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Convergence | en_US |
| dc.title | A Higher-Order Approach for Time-Fractional Generalized Burgers' Equation | en_US |
| dc.title | A Higher-Order Approach For Time-Fractional Generalized Burgers' Equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 58419746100 | |
| gdc.author.scopusid | 57219466563 | |
| gdc.author.scopusid | 58732010600 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| 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, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, R-077125 Magurle Bucharest, Romania | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 31 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4377194135 | |
| gdc.identifier.wos | WOS:001086212700001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 1.0 | |
| gdc.oaire.influence | 2.5298603E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.popularity | 2.8106577E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.4411 | |
| gdc.openalex.normalizedpercentile | 0.54 | |
| gdc.opencitations.count | 2 | |
| gdc.plumx.scopuscites | 1 | |
| gdc.scopus.citedcount | 1 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 1 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |