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4.1 Algorithm (Predictor-corrector Method)

For the IVP (1.1) set and a choose a step size h. Let with. Let M be the tolerance or the number of iteration for each step Let $\epsilon_{ref}$ be the tolerance on the relative error at each step. For k=0,1,2,..n
(a) compute

(b) for m=0,1,2...M compute

(c) Stop the iterations whenever the absolute of the relative error

Remark: The tolerance in the number of inner iteration has been incorporated in (6) by setting m = 0,1,2...M.

Flowchart for Predictor-Corrector Method

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