Adomianʹs polynomials for nonlinear operators

In this paper, we use the decomposition method for solving an equation of the form u = Nu, where N is nonlinear operator. We also give new formulae for the calculation of Adomianʹs polynomials for an operator and generalize these results for a multidimensional operator. These new results are then used for solving the Navier-Stokes equations.