Predictor Methods

Using (1.2), we obtain the error term as

....................1.5

Since, g(s) does not change sign in [0, 1], we get by the mean value theorem

...................1.6

where,

Alternately, we write the truncation error as

Using Taylor series, we expand y(x_{n 1}), y_{n 1} about xn, and simplify. The leading term gives the order of the truncation error.