Numerical Solution of Klein-Gordon Equation by Using the Adomianʹʹs Decomposition and Variational Iterative Methods

In this paper, a Klein-Gordon equation is solved by using the Adomianʹs decomposition method, variational iteration method and modified form of these methods. The approximate solution of this equation is calculated in the form of series in which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.