  We compute the critical exponents of the O(N) model within the Functional
Renormalization Group (FRG) approach. We use recent advances which are based on
the observation that the FRG flow equation can be put into the form of an
advection-diffusion equation. This allows to employ well-tested hydrodynamical
algorithms for its solution. In this study we work in the local potential
approximation (LPA) for the effective average action and put special emphasis
on estimating the various sources of errors. Our results complement previous
results for the critical exponents obtained within the FRG approach in LPA.
Despite the limitations imposed by restricting the discussion to the LPA, the
results compare favorably with those obtained via other methods.
