The Taylor series method and trapezoidal rule on time scales

Svetlin G. Georgiev and İnci M. Erhan

Applied Mathematics and Computation, 2020, vol. 378, issue C

Abstract: The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed.

Keywords: Time scale; Delta derivative; Taylor series method; Trapezoidal rule; Dynamic equation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301697

DOI: 10.1016/j.amc.2020.125200

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