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The final corrector of the fourth-order Runge-Kutta method uses ___________(a) Midpoint rule(b) Backward Euler method(c) Simpson’s rule(d) Trapezoidal ruleI got this question in semester exam.This intriguing question originated from Transient Flows in section Transient Flows of Computational Fluid Dynamics

Answer»

The correct ANSWER is (C) Simpson’s rule

Explanation: The third step of the fourth-order Runge-Kutta METHOD uses midpoint rule to correct the VALUES and the last step uses Simpson’s rule. This renders a fourth-order ACCURACY to the Runge-Kutta method.



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