Fourth-order Runge-Kutta method

The fourth-order Runge-Kutta method is a numerical technique used to solve differential equations, which describe how things change over time. It estimates the next value of a variable by taking a weighted average of four intermediate calculations, called "slope" estimates, at different points within the current step. These slopes provide a more accurate picture of the function’s behavior. By combining them carefully, the method achieves high accuracy with manageable computation, making it a popular choice for modeling dynamic systems in science and engineering.