Convergence of Iterative Methods Applied to Burgers-Huxley Equation

In this paper, a burgers-huxley equation is solved by using variety of methods: the adomian’s decomposition method , modified adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. the approxi- mate solution of this equation is calculated in the form of series whose components are computed by applying a recursive relation. consequently, the existence and uniqueness of the solution and the convergence of the proposed methods are proved. furthermore, a numerical example is studied to demonstrate the accuracy of the presented methods.