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During the implementation of the method, we impose some restrictions on the step size selection strategy in order to minimize the number of required formulae to be stored in the code. The choices for the next step size will be restricted either kept constant, doubling or halving. In the case of successful step size, if the step size remain constant then the possible ratios are (s=1), (s=2) or (s=3).When the step size is doubled the ratios either (s=4) or (s=5). In the case of step size failure (s=6). The general corrector formulae of Huen's method could be written in a compact form as follows
Q=wt+s (1)
where t is the number of times which Eq. (1) is integrated over the corresponding interval. Upon substituting s=1 in the mentioned corrector formulae, the coefficients of the Huen's method will be simplified in the table below :