There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 76 | - |
dc.citation.startPage | 57 | - |
dc.citation.title | APPLIED NUMERICAL MATHEMATICS | - |
dc.citation.volume | 163 | - |
dc.contributor.author | Lee, Seyeon | - |
dc.contributor.author | Lee, Junseo | - |
dc.contributor.author | Kim, Hyunju | - |
dc.contributor.author | Jang, Bongsoo | - |
dc.date.accessioned | 2023-12-21T15:52:28Z | - |
dc.date.available | 2023-12-21T15:52:28Z | - |
dc.date.created | 2021-01-23 | - |
dc.date.issued | 2021-05 | - |
dc.description.abstract | Efficient and fast explicit methods are proposed to solve nonlinear Caputo-Fabrizio fractional differential equations, where Caputo-Fabrizio operator is a new proposed fractional derivative with a smooth kernel. The proposed methods produce the second-order for linear interpolation and the third-order accuracy for quadratic interpolation, respectively. The convergence analysis is proved by using discrete Gronwall's inequality. Furthermore, applying the recurrence relation of the memory term, it reduces CPU time executed the proposed methods. The proposed fast algorithm requires approximately O(N) arithmetic operations while O(N2) is required in case of the regular predictor-corrector schemes, where N is the total number of the time step. The following numerical examples demonstrate the accuracy of the proposed methods as well as the efficiency: nonlinear fractional differential equations, time-fraction sub-diffusion, and time-fractional advection-diffusion equation. Numerical experiments also verify the theoretical convergence rates. | - |
dc.identifier.bibliographicCitation | APPLIED NUMERICAL MATHEMATICS, v.163, pp.57 - 76 | - |
dc.identifier.doi | 10.1016/j.apnum.2021.01.013 | - |
dc.identifier.issn | 0168-9274 | - |
dc.identifier.scopusid | 2-s2.0-85099627069 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/49842 | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0168927421000210 | - |
dc.identifier.wosid | 000620660200005 | - |
dc.language | 영어 | - |
dc.publisher | Elsevier BV | - |
dc.title | A fast and high-order numerical method for nonlinear fractional-order differential equations with non-singular kernel | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Tel : 052-217-1404 / Email : scholarworks@unist.ac.kr
Copyright (c) 2023 by UNIST LIBRARY. All rights reserved.
ScholarWorks@UNIST was established as an OAK Project for the National Library of Korea.