Runge–Kutta method is used for _____.

The Runge-Kutta method is a powerful family of iterative techniques used for the numerical approximation of solutions to differential equations.

Explanation of the Method
The primary purpose of the Runge-Kutta method is to solve ordinary differential equations (ODEs), particularly initial value problems. Instead of seeking an analytical (exact) solution, which may be difficult or impossible to find for complex equations, the Runge-Kutta method approximates the solution by taking small, calculated steps along the function's curve. It does this by evaluating the slope of the function at various points within a given interval and computing a weighted average of these slopes to predict the next value.