A rapidly convergent approximation scheme for nonlinear autonomous and non-autonomous wave-like equations

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 exponential instead algebraic function independent variables. As consequence: i) the convergence found to be faster than same obtained by few other methods and ii) exact analytic can from first terms solution, cases equation is integrable. The sum successive correction established estimate error also presented. efficiency present method illustrated through some examples variety equation.