The Taylor series method of order <i>p</i> and Adams-Bashforth method on time scales
| dc.authorid | ERHAN, INCI M./0000-0001-6042-3695 | |
| dc.authorscopusid | 7005135454 | |
| dc.authorscopusid | 6507345917 | |
| dc.authorwosid | ERHAN, INCI M./HLH-1268-2023 | |
| dc.contributor.author | Erhan, İnci | |
| dc.contributor.author | Erhan, Inci M. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:24:51Z | |
| dc.date.available | 2024-07-05T15:24:51Z | |
| dc.date.issued | 2023 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Georgiev, Svetlin G.] Sorbonne Univ, Paris, France; [Erhan, Inci M.] Atilim Univ, Dept Math, Ankara, Turkey | en_US |
| dc.description | ERHAN, INCI M./0000-0001-6042-3695 | en_US |
| dc.description.abstract | A recent study on the Taylor series method of second order and the trapezoidal rule for dynamic equations on time scales has been continued by introducing a derivation of the Taylor series method of arbitrary order p$$ p $$ on time scales. The error and convergence analysis of the method is also obtained. The 2-step Adams-Bashforth method for dynamic equations on time scales is concluded and applied to examples of initial value problems for nonlinear dynamic equations. Numerical results are presented and discussed. | en_US |
| dc.identifier.citation | 1 | |
| dc.identifier.doi | 10.1002/mma.8512 | |
| dc.identifier.endpage | 320 | en_US |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85133609464 | |
| dc.identifier.startpage | 304 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/mma.8512 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2448 | |
| dc.identifier.volume | 46 | en_US |
| dc.identifier.wos | WOS:000822374900001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Adams-Bashforth method | en_US |
| dc.subject | delta derivative | en_US |
| dc.subject | dynamic equation | en_US |
| dc.subject | Taylor series method | en_US |
| dc.subject | time scale | en_US |
| dc.title | The Taylor series method of order <i>p</i> and Adams-Bashforth method on time scales | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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