This final project discusses the fifth-order predictor-corrector method by mo- difying the integral limits from [tn, tn+1] to [tn−3, tn+1] for the Adam-Bashforth method and [tn−2, tn+1] for the Adam-Moulton method. This method combines the explicit Adam-Bashforth method as the predictor and the implicit Adam- Moulton method as the corrector. The results show that the numerical solution app…