numerical analysis...

Derive the Adams-Bashforth (AB) method for the following problem using the interpolationg polynomial of degree 2.( Explicit multi-step method )

Y'(x)=f(x,Y(x)) on x>0
Y(0)=Y lower case 0

Derive the Adams-Moulton (AM) method for the same problem using the interpolationg polynomial of degree 2.( Implicit multi-step method )


can anyone help me with this problem??

I know this is late, but what you want to do is setup the following


For Adams-Bashforth interpolate at the points using the Lagrange interpolating polynomial and then integrate.

For Adams-Moulton interpolate at the points using the Lagrange interpolating polynomial and then integrate.