Nonstandard finite difference method for solving complex-order fractional Burgers’ equations
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | AL-Mekhlafi, S.M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2022-08-24T08:35:23Z | |
| dc.date.available | 2022-08-24T08:35:23Z | |
| dc.date.issued | 2020 | |
| dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers’ equations. A new parameter σt is presented in order to be consistent with the physical model problem. This parameter characterizes the existence of fractional structures in the equations. A relation between the parameter σt and the time derivative complex order is derived. An unconditionally stable numerical scheme using a kind of weighted average nonstandard finite-difference discretization is presented. Stability analysis of this method is studied. Numerical simulations are given to confirm the reliability of the proposed method. © 2020 | en_US |
| dc.description.publishedMonth | 9 | |
| dc.identifier.citation | Sweilam, N.H.; AL-Mekhlafi, S.M.; Baleanu, Dumitru (2022). "Nonstandard finite difference method for solving complex-order fractional Burgers’ equations", Journal of Advanced Research, Vol. 25, pp. 19-29. | en_US |
| dc.identifier.doi | 10.1016/j.jare.2020.04.007 | |
| dc.identifier.endpage | 29 | en_US |
| dc.identifier.issn | 2090-1232 | |
| dc.identifier.startpage | 19 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/5763 | |
| dc.identifier.volume | 25 | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Journal of Advanced Research | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Burgers’ Equations | en_US |
| dc.subject | Complex Order Fractional Derivative | en_US |
| dc.subject | Nonstandard Weighted Average Finite Difference Method | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.title | Nonstandard finite difference method for solving complex-order fractional Burgers’ equations | tr_TR |
| dc.title | Nonstandard Finite Difference Method for Solving Complex-Order Fractional Burgers’ Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 |