A novel finite difference scheme for time fractional diffusion-wave equation with singular kernel
| dc.contributor.author | Bouguetof, Khaoula | en_US |
| dc.contributor.author | Haouam, Kamel | en_US |
| dc.date.accessioned | 2021-07-09T10:57:59Z | |
| dc.date.available | 2021-07-09T10:57:59Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Bouguetof, K. & Haouam, K. (2021). A novel finite difference scheme for time fractional diffusion-wave equation with singular kernel. TWMS Journal of Applied and Engineering Mathematics, 11(3), 681-688. | en_US |
| dc.identifier.issn | 2146-1147 | en_US |
| dc.identifier.issn | 2587-1013 | en_US |
| dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3181 | |
| dc.identifier.uri | http://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/727 | |
| dc.description.abstract | In this paper, we suggest a novel numerical approximation of the CaputoFabrizio fractional derivative of order ? (1 < ? < 2). Our novel discretization is found by using discret fractional derivative at t = tk with new coefficients e?(??1)(tk?tm+ 1/2)/2?? ? e?(??1)(tk?tm? 1/2) 2?? . Also, we prove that the difference scheme is unconditionally stable. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Işık University Press | en_US |
| dc.relation.ispartof | TWMS Journal of Applied and Engineering Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Caputo-Fabrizio | en_US |
| dc.subject | Diffusion-wave equation | en_US |
| dc.subject | Novel finite difference | en_US |
| dc.subject | Stability | en_US |
| dc.title | A novel finite difference scheme for time fractional diffusion-wave equation with singular kernel | en_US |
| dc.type | Article | en_US |
| dc.description.version | Publisher's Version | en_US |
| dc.identifier.volume | 11 | |
| dc.identifier.issue | 3 | |
| dc.identifier.startpage | 681 | |
| dc.identifier.endpage | 688 | |
| dc.peerreviewed | Yes | en_US |
| dc.publicationstatus | Published | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
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