New solutions of fractional-order Burger-Huxley equation
| dc.contributor.author | İnç, Mustafa | |
| dc.contributor.author | Partohaghighi, Mohammad | |
| dc.contributor.author | Akinlar, Mehmet Ali | |
| dc.contributor.author | Agarwal, Paraveen | |
| 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 | A simple and powerful numerical method is proposed for solving the time-fractional Burger-Huxley equation (TFBH) equation within Caputo type fractional derivative. A fictitious coordinate theta is applied into the equation in order to convert the dependent variable u(x, t) into a new variable with an extra dimension. In the new space with the added fictitious dimension, a combination of the method of line and group preserving scheme (GPS) is introduced to find the approximate solutions. The reliability and accuracy of this scheme has been shown through some examples of the TFBH 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.2020.103290 | |
| dc.identifier.issn | 2211-3797 | |
| dc.identifier.orcid | 0000-0001-7556-8942 | |
| dc.identifier.orcid | 0000-0002-7005-8633 | |
| dc.identifier.scopus | 2-s2.0-85089907848 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1016/j.rinp.2020.103290 | |
| dc.identifier.uri | https://hdl.handle.net/11508/46219 | |
| dc.identifier.volume | 18 | |
| dc.identifier.wos | WOS:000577352600002 | |
| 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 | Burger-Huxley equation | |
| dc.subject | Group preserving | |
| dc.subject | Caputo derivative | |
| dc.subject | Fictitious time integration | |
| dc.title | New solutions of fractional-order Burger-Huxley equation | |
| dc.type | Article |
