Question

The first two steps of the fourth-order Runge-Kutta method use __________

(a) Euler methods

(b) Forward Euler method

(c) Backward Euler method

(d) Explicit Euler method

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The above asked question is from Transient Flows topic in portion Transient Flows of Computational Fluid Dynamics

Answer 1

The correct option is (a) Euler methods

Easy explanation: All the steps of the Runge-Kutta method use the two-level formulae for initial value problems. The first step uses the forward Euler method and the second step uses the backward Euler method. Collectively, we can say that these two steps use Euler methods.