New numerical solutions of fractional-order Korteweg-de Vries equation
| dc.contributor.author | İnç, Mustafa | |
| dc.contributor.author | Parto-Haghighi, Mohammad | |
| dc.contributor.author | Akinlar, Mehmet Ali | |
| dc.contributor.author | Chu, Yu-Ming | |
| dc.date.accessioned | 2026-08-12T16:42:19Z | |
| dc.date.issued | 2020 | |
| dc.department | Fırat Üniversitesi | |
| dc.description.abstract | We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving. Proposed method converts the KdV to a new system of equations which is approximately solved by a semi-discretization numerical scheme. Caputo type fractional-order derivative operators are used. We apply the method to some specific cases of the KdV equation. Computational results indicate that the method gives new and highly efficient solutions of the KdV equation. | |
| dc.description.sponsorship | Natural Science Foundation of China [61673169, 11301127, 11701176, 11626101, 11601485] | |
| dc.description.sponsorship | The work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485). | |
| dc.identifier.doi | 10.1016/j.rinp.2020.103326 | |
| dc.identifier.issn | 2211-3797 | |
| dc.identifier.orcid | 0000-0002-7005-8633 | |
| dc.identifier.scopus | 2-s2.0-85089937570 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1016/j.rinp.2020.103326 | |
| dc.identifier.uri | https://hdl.handle.net/11508/46220 | |
| dc.identifier.volume | 19 | |
| dc.identifier.wos | WOS:000604211100005 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.relation.ispartof | Results in Physics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WoS_20260511 | |
| dc.subject | Time fractional Korteweg de Vries equation | |
| dc.subject | Fictitious time integration | |
| dc.subject | Group preserving scheme (GPS) | |
| dc.subject | Caputo derivative | |
| dc.title | New numerical solutions of fractional-order Korteweg-de Vries equation | |
| dc.type | Article |
