The Taylor Series Method of Order <i>p</I> and Adams-Bashforth Method on Time Scales
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Date
2023
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Publisher
Wiley
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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.
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ERHAN, INCI M./0000-0001-6042-3695
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Keywords
Adams-Bashforth method, delta derivative, dynamic equation, Taylor series method, time scale
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1
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Q1
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Volume
46
Issue
1
Start Page
304
End Page
320