  In this work, an efficient approximation scheme has been proposed for getting
accurate approximate solution of nonlinear partial differential equations with
constant or variable coefficients satisfying initial conditions in a series of
exponential instead of an algebraic function of independent variables. As a
consequence: i) the convergence of the series found to be faster than the same
obtained by few other methods and ii) the exact analytic solution can be
obtained from the first few terms of the series of the approximate solution, in
cases the equation is integrable. The convergence of the sum of the successive
correction terms has been established and an estimate of the error in the
approximation has also been presented. The efficiency of the present method has
been illustrated through some examples with a variety of nonlinear terms
present in the equation.
