Question

In the two-level predictor-corrector method, the prediction is done using _____________

(a) trapezoidal rule

(b) explicit Euler method

(c) midpoint rule

(d) implicit Euler method

Answer 1

Right option is (b) explicit Euler method

For explanation I would say: The prediction step uses the forward (explicit) Euler method. The formula for this method is given as

Φ^n+1*=Φ^n+f(t^n,Φ^n )Δt.

Here, ^*indicates that this answer is not the final one. This predicted value is corrected later.