On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation
| dc.contributor.author | Deniz, Sinan | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-12T11:34:40Z | |
| dc.date.available | 2021-11-12T11:34:40Z | |
| dc.date.issued | 2020-06-30 | |
| dc.description.abstract | In this paper, the Klein - Gordon equation is generalized using the concept of the variational order derivative. We try to construct the Crank-Nicholson scheme for numerical solutions of the modified Klein- Gordon equation. Stability analysis of the Crank-Nicholson scheme is examined and analyzed to prove the proposed method is stable for solving the time-fractional variable order Klein- Gordon equation. A numerical example is also given for illustration. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 992 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 981 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.450209 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/76046 | |
| dc.identifier.volume | 69 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.450209 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Klein-Gordon equation | tr_TR |
| dc.subject | Fractional variable order derivative | tr_TR |
| dc.subject | Crank-Nicholson scheme | tr_TR |
| dc.title | On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation | tr_TR |
| dc.type | Article | tr_TR |