Georgiev, Svetlin G.Erhan, İnciErhan, Inci M.Mathematics2024-07-052024-07-05202310170-42141099-147610.1002/mma.85122-s2.0-85133609464https://doi.org/10.1002/mma.8512https://hdl.handle.net/20.500.14411/2448ERHAN, INCI M./0000-0001-6042-3695A 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.eninfo:eu-repo/semantics/closedAccessAdams-Bashforth methoddelta derivativedynamic equationTaylor series methodtime scaleArticleQ1461304320WOS:000822374900001