SUB RK4 (х, у, h, упеw) CALL Derivs(x, y, kl) SUB Derivs (x, y, dydx) dydx ... END SUB ym = y + CALL Derivs( , ут, k2) ут = y + CALL Derivs(. , ут, к3) ye = y + CALL Derivs( , уе, k4) slope = ynew = y...


2Runge-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 RK4 (х, у, h, упеw)<br>CALL Derivs(x, y, kl)<br>SUB Derivs (x, y, dydx)<br>dydx<br>...<br>END SUB<br>ym = y +<br>CALL Derivs(<br>, ут, k2)<br>ут<br>= y +<br>CALL Derivs(.<br>, ут, к3)<br>ye = y +<br>CALL Derivs(<br>, уе, k4)<br>slope =<br>ynew = y + slope h<br>X = x + h<br>END SUB<br>

Extracted text: SUB RK4 (х, у, h, упеw) CALL Derivs(x, y, kl) SUB Derivs (x, y, dydx) dydx ... END SUB ym = y + CALL Derivs( , ут, k2) ут = y + CALL Derivs(. , ут, к3) ye = y + CALL Derivs( , уе, k4) slope = ynew = y + slope h X = x + h END SUB

Jun 05, 2022
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