Solution of Damped Spring Vibration Model of Motor Vehicles with MATLAB Application

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.