Authors :
Gilang Nitiasya Fawzi; Yani Ramdani
Volume/Issue :
Volume 10 - 2025, Issue 4 - April
Google Scholar :
https://tinyurl.com/2r23erjm
Scribd :
https://tinyurl.com/3db6fzjd
DOI :
https://doi.org/10.38124/ijisrt/25apr256
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Abstract :
This study analyzes the application of the Runge Kutte 4 method, Runge Kute Gill, and Milne Method in two-
wheeled motor vehicles. The study results show that: (1) Performance of the Milne Method: The Milne method is effective
for solving damped oscillatory systems with small time steps and provides good results, although with a slight increase in
error compared to the Runge Kutte 4 method. (2) Advantages The Milne method shows more efficiency in the number of
function evaluations per step. It is suitable for applications requiring more significant time steps without requiring
accuracy as high as the Runge Kutte 4 method. (3) Disadvantages The Milne method has lower accuracy than the Runge
Kutte 4 method, especially for small time steps and requires an initial step using another method, adding to the complexity
of the Implementation.
Keywords :
Analysis; Runge Kutta; Runge Kutta Gill; Milne Method; Two-Wheeled Motorized Vehicles.
References :
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- Kuang, J., Wang, M., Han, J., & Sheng, Y. (2023). Improved Milne-Hamming Method for Resolving High-Order Uncertain Differential Equations. Applied Mathematics and Computation, 457, 128199.
- Ixaru, L. G., & Rizea, M. (1980). A Numerov-like scheme for the numerical solution of the Schrödinger equation in the deep continuum spectrum of energies. Computer Physics Communications, 19(1), 23-27.
- Van de Vyver, H. (2005). Frequency evaluation for exponentially fitted Runge–Kutta methods. Journal of computational and applied mathematics, 184(2), 442-463.
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This study analyzes the application of the Runge Kutte 4 method, Runge Kute Gill, and Milne Method in two-
wheeled motor vehicles. The study results show that: (1) Performance of the Milne Method: The Milne method is effective
for solving damped oscillatory systems with small time steps and provides good results, although with a slight increase in
error compared to the Runge Kutte 4 method. (2) Advantages The Milne method shows more efficiency in the number of
function evaluations per step. It is suitable for applications requiring more significant time steps without requiring
accuracy as high as the Runge Kutte 4 method. (3) Disadvantages The Milne method has lower accuracy than the Runge
Kutte 4 method, especially for small time steps and requires an initial step using another method, adding to the complexity
of the Implementation.
Keywords :
Analysis; Runge Kutta; Runge Kutta Gill; Milne Method; Two-Wheeled Motorized Vehicles.