Numerical solution of Laplace equation in a disk using the Adomian decomposition method

We present a numerical method for solving the Laplace equation with given boundary condition by applying the decomposition procedure of Adomian on an integral equation that results from the reformation of the main problem. The Adomian decomposition method is useful for obtaining both analytical solutions and numerical approximations of various kinds of problems. Numerical results are reported and a comparison with some other existing methods are done.