COMMAX 2020 UiTM Kampus Kuala Terengganu

Many problems in science and engineering can be reduced to the problem of solving ordinary differential equation satisfying certain given condition. In addition, the solution of ordinary differential equations problem can be solved either in theoretical and numerical methods. The theoretical method is known to have their difficulty in solving ordinary differential equations problem whereas this method requires a substantial amount of laborious work and it is complicated. Therefore some method in the form of numerical calculation is used. For this project, will be used variant of predictor corrector methods. Such methods are Milne’s method, Milne’s Modified method, Adam-Bashforh method and Euler’s method. This research will compare the efficiency of the four methods (Milne’s method, Milne’s Modified method, Adam-Bashforh method and Euler’s method) to solve ordinary differential equation of first order and first degree in the form of number of error and CPU time. Above all, four methods could be used to solve ordinary differential equation of first order and first degree. The result shows that Milne’s predictor corrector gives the most accuracy because it has a least error among other methods and Euler’s Predictor Corrector are the best method in CPU time where it takes a less computation time compared to other methods.