Hi Antonio,
Two things that the documentation clearly mentions is the use of extrapolation and implicit method.
Extrapolation basically means using the known data in present to compute the future data. We can find the equation given in help
We can clearly see the use of extrapolation here as the general formula of extrapolation is: y(n+1) = y(n) + slope*(y(n+1) - y(n)).
Further, we can see that the function is implicit function because it is using a function of next state to calculate next state, x(n+1) = x(n) + f(x(n+1)). Which is the definition of implicit methods.
I am not sure the exact implicit method that is used by 'ode14x'. The documentation doesn’t helps that much in this case.
Hope this helps!
