Question: Runge-Kutta Order 4 (RK4) Method is a commonly used numerical solution method for ordinary differential equations of initial value problems. Please complete the following pseudo
Runge-Kutta Order 4 (RK4) Method is a commonly used numerical solution method for ordinary differential equations of initial value problems. Please complete the following pseudo code and use geometric images to explain why the RK4 method has less error.
SUB Derivs (x, y, dydx) dydx END SUB = SUB RK4 (x, y, h, ynew) CALL Derivs (x, y, k1) ym = y + CALL Derivs , ym, k2) ym = y + CALL Derivs , ym, k3) ye = y + CALL Derivs .ye, k4) slope = ynew = y + slope h X = x + h END SUB =
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