چكيده فارسي :
In this paper, a Kawahara equation is solved by using 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 approximate solution of this equation is
calculated in the form of series 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.
