Modified predictor-corrector multistep method using arithmetic mean for solving ordinary differential equations

In this research, two modified predictor-corrector methods using arithmetic mean are constructed to solve ordinary differential equations (ODE). The third order predictor-corrector methods, namely, Adams-Bashforth and Adams-Moulton have been chosen and the modification has successfully produced two new methods. These two third order methods are used to solve ODE problems. Simulation output from both methods are compared with the original methods and third order Runge-Kutta method. Numerical results are presented to illustrate the accuracy and efficiency of the modified methods.