Linearly implicit methods for Allen-Cahn equation
| dc.authorid | Uzunca, Murat/0000-0001-5262-063X | |
| dc.authorid | Karasozen, Bulent/0000-0003-1037-5431 | |
| dc.contributor.author | Uzunca, Murat | |
| dc.contributor.author | Karasozen, Buelent | |
| dc.date.accessioned | 2025-03-23T19:42:09Z | |
| dc.date.available | 2025-03-23T19:42:09Z | |
| dc.date.issued | 2023 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | It is well known that the Allen-Cahn equation satisfies a nonlinear stability property, i.e., the free-energy functional decreases in time. Linearly implicit integrators have been de-veloped for energy-preserving methods for conservative systems with polynomial Hamil-tonians, which are based on the concept of polarization. In this paper, we construct lin-early implicit methods for gradient flows preserving the energy dissipation by polarizing the free-energy functional. Two-step linearly implicit methods are derived for the Allen -Cahn equation inheriting energy dissipation law. Numerical experiments for one-, two-, and three-dimensional Allen-Cahn equations demonstrate the energy dissipation and the accuracy of the linearly implicit methods.(c) 2023 Elsevier Inc. All rights reserved. | |
| dc.identifier.doi | 10.1016/j.amc.2023.127984 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-85150901804 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2023.127984 | |
| dc.identifier.uri | https://hdl.handle.net/11486/6714 | |
| dc.identifier.volume | 450 | |
| dc.identifier.wos | WOS:000965266700001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Science Inc | |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | Allen -Cahn equation | |
| dc.subject | Gradient systems | |
| dc.subject | Energy dissipation | |
| dc.subject | Linearly implicit methods | |
| dc.title | Linearly implicit methods for Allen-Cahn equation | |
| dc.type | Article |
