Runge-Kutta method

The Runge-Kutta method is a mathematical technique used to find approximate solutions to ordinary differential equations, which describe how quantities change over time. It works by taking a series of calculated "steps" based on the current state of the system and its rates of change. By combining information from these steps, it provides a more accurate prediction of the system's behavior than simpler methods. This approach is widely used in fields like physics, engineering, and finance to model complex processes, helping to simulate everything from the motion of planets to population growth.