Falling Body Motion in Time Scale Calculus

Yıl 2024, Cilt: 11 Sayı: 1, 210 - 224, 28.03.2024

Neslihan Nesliye Pelen , Zeynep Kayar

https://doi.org/10.54287/gujsa.1427944

Öz

The falling body problem for different time scales, such as ℝ, ℤ, hℤ, qℕ0, ℙc,d is the subject of this study. To deal with this problem, we use time-scale calculus. Time scale dynamic equations are used to define the falling body problem. The exponential time scale function is used for the solutions of these problems. The solutions of the falling body problem in each of these time scales are found. Moreover, we also test our mathematical results with numerical simulations.

Anahtar Kelimeler

Time Scale Calculus, Falling Body Motion, Delta Derivative, H-Calculus, Q-Calculus

Kaynakça

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