Third- and fourth-order Runge-Kutta methods have been developed in ways that are entirely analogous to the second-order ones. Hence we will not work through the derivations but simply state the fourth-order formula:
kl = f [tm, Ym] , k2 = f k3 = f h h tm + "2" >Ym + "2"k1
and the truncation error is sT = K h5 .
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