Next: Sample Programs Up: Main Previous: Predictor - Corrector Methods
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 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
Next : Sample Programs Up:Main Previous: Predictor - Corrector Methods