A SIXTH-ORDER PREDICTOR-CORRECTOR METHOD FOR INITIAL VALUE PROBLEMS
DOI:
https://doi.org/10.31258/jomso.v2i2.39Keywords:
initial value problems, predictor-corrector method, Adam-Bashforth method, Adam-Muolton method, stability regionAbstract
This article discusses the sixth-order predictor-corrector method by changing the integral limit of$[t_n,t_{n+1}]$ to $[t_{n-3},t_{n+1}]$. This method combines the explicit Adam-Bashforth approach
as a predictor and the implicit Adam-Moulton approach as corrector. The results obtained show that
the numerical solution is close to the exact solution and the selection of a small \textit{stepsize}
$h$ makes this method an alternative method in solving various initial value problems.
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