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In this paper we consider variational iteration method to investigate solution of Kuramoto-Sivashinsky equations. Comparison of the results of this method obtained just in 2-iterations with RBF based mesh -free method and local continuous Galerkin methods, shows the efficiency of this method. Moreover, numerical solution of this equation by spectral collocation method is investigated. Numerical experiments are included to show the efficiency of these methods.

An efficient numerical method based on Variational iteration method for solving the Kuramoto-Sivashinsky equations