Trapezoidal method for solving fuzzy initial value problems (Q2917759)

The author proposes a numerical method for the approximate solution of a fuzzy initial value problem of first order. The algorithm assumes the starting values to be known not only at the initial point \(t_0\) but also at the two following grid points \(t_1\) and \(t_2\). It is not clarified how this can be achieved in practice; the information is simply assumed to be given. The method is of a predictor-corrector type, using an explicit three-step method as the predictor and an implicit three-step method as the corrector. It seems that the predictor is of order one and the corrector is of order two, but the author merely shows that the error converges to zero instead of investigating the convergence order.