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3. Computing

3.3. Differential Equation
Runga Kutta Method

The Runge-Kutta method is a numerical algorithm used to solve ordinary differential equations. It involves calculating several intermediate approximations of the solution at discrete time steps, using a weighted average of the slopes of the function at those points. The accuracy and efficiency of the method depend on the order of the method, with higher order methods providing more accurate solutions but requiring more computation. The most commonly used versions of the method are the fourth-order and fifth-order Runge-Kutta methods