##
Predictor Corrector Method; Adam Bashforth Moulton Method

Let's consider again the initial value problem

dy/dt = t*exp(3*t) - 2*y

y(0) = 0

0 <= t <= 2

A Matlab script to solve this problem that employs
the Adam Bashforth Moulton predictor-corrector method
can be **downloaded here **.
It uses the functions
**deriv.m ** and
**exact.m **.
Results (in comparison to an RK4 scheme) are

Let's take a look at some** numbers **.

RK4 performs slightly better.

But: For many problems, implicit schemes allow us to take larger timestep.