Environmental Engineering Reference
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Substituting these results into (5.47) yields
The error is obtained by expending (5.50) with
The relative error given by is higher as compared with that of
the two-step algorithm presented earlier. Also, in comparison with the
two-step method, this approach has the drawbacks of the high cost of
computation due to the need for and
The relative errors of the two forward-step, two-step, four-step, and
Taylor series based methods in computing are tabulated in Ta-
ble 4 and plotted in Fig.5.6. It is seen that the relative error of these
algorithms increases monotonically with the increase of the step size.
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