METODE PREDIKTOR-KOREKTOR: ADAMS BASHFORTH MOULTON 5 LANGKAH UNTUK MENYELESAIKAN PERSAMAAN DIFERENSIAL BIASA ORDE 1 DAN 2 DISERTAI NILAI AWAL; ( FIVE STEPS ADAMS BASHFORTH MOULTON PREDICTOR-CORRECTOR METHOD FOR SOLVING 1ST AND 2ND ORDER INITIAL VALUE DIFFERENTIAL EQUATIONS )

Kurniasari, Angela Y, Mochammad Tari

2015 | Skripsi | FMIPA UGM

Adams Bashforth Moulton predictor corrector method, clasified as a 2 step method, is used to find approximated value of an initial value ordinary differential equation. In this method the Adams Bashforth method is the predictor, while Adams Moulton method is the corrector. The number of initial values of a predictor corrector method depends on the number of steps used in the multistep method. The initial values are obtained from a 1 step method such as Rungge Kutta method which is a relatively accurate 1 step method. In this final project the 5 step Adams Bashforth Moulton method is discussed. This method is an extension of the 2 step Adam Bashforth Moulton. We show that the method is stable, consistent, and the approximation value always converges to the exact value. In 5 step Adams Bashforth Moulton predictor corrector method requires a step size h analysis which is based on fixed error prerequirement. Adams Moulton is more relatively accurate than Adams Bashforth method. Five step Adams Bashforth Moulton is more relatively accurate than 4 step Adams Bashforth Moulton method. In this final project we apply the Adams Bashforth Moulton predictor corrector method to solve first order and second order initial value differential equations.

Kata Kunci : N