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 Georgiev, Svetlin G.
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.citationcount 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.institutionauthor Erhan, İnci
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.scopus.citedbyCount 1
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
dc.wos.citedbyCount 1
dspace.entity.type Publication
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