I would like to (numerically) solve a forward-backward looking recurrence equation in Mathematica. The system is something like:
x[n+1] = x[n] + y[n] y[n] = 2* y[n+1]
The problem is that the boundary of
x at the beginning (
n=0) where the boundary of
y is at the end (
n=N) (hence forward-backward looking). The Mathematica command
RecurrenceTable does not handle this.
I would need to obtain a result for an arbitrary level of
n. Numerical results are fine. What would be the most efficient method to tackle this problem?