The use of iterative methods for solving Black-Scholes equation

In this paper, the Black-Scholes equation is solved by using the Adomian's decomposition method , modied Adomian's decomposition method , variational iteration method , modied variational iteration method, ho- motopy perturbation method, modied homotopy perturbation method and homotopy analysis method. The existence and uniqueness of the solution and convergence of the proposed methods are proved in details. A numerical example is studied to demonstrate the accuracy of the presented methods.