An analytical approach to the Fornberg–Whitham type equations by using the variational iteration method

In this paper, He’s variational iteration method (VIM) is applied to solve the Fornberg–Whitham type equations. The VIM provides fast converged approximate solutions to nonlinear equations without linearization, discretization, perturbation, or the Adomian polynomials. This makes the method attractive and reliable for solving the Fornberg–Whitham type equations. Numerical examples related to two initial value problems are presented to show the efficiency of the VIM.