Abstract
J.Phys.A44:405205,2011 Approximate solutions to functional evolution equations are constructed
through a combination of series and conjugation methods, and relative errors
are estimated. The methods are illustrated, both analytically and numerically,
by construction of approximate continuous functional iterates for x/(1-x), sin
x, and {\lambda}x(1-x). Simple functional conjugation by these functions, and
their inverses, substantially improves the numerical accuracy of formal series
approximations for their continuous iterates.
