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Article Citation - WoS: 2Citation - Scopus: 2The Taylor Series Method of Order p and Adams-Bashforth Method on Time Scales(Wiley, 2023) Georgiev, Svetlin G.; Erhan, Inci M.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.
