Discretization

Dec 2009
411
131
I have trouwble discretisizing the following Non-linear differential equation with stepsize \(\displaystyle h=\frac{1}{2}\):

\(\displaystyle -y''+y^3=0\) with \(\displaystyle y(0)=1, y'(1)=0\)

where \(\displaystyle y'(1)=0\) is approximated with a second order differential formula.

I'm clueless, I don't quite understand what must be done here. Can someone offer me some guidelines?