Numerical Solution of Sawada-Kotera equation by using Iterative Methods

در اين مقاله با استفاده از روش هاي تكراري روش تجزيه آدوميان و اصلاح شده آن ،روش تكراري تغيير پذير و اصلاح شده آن، روش آشفتگي هموتوپي و اصلاح شده آن ،روش آناليز هموتوپي معادله ي ساوادا – كوترا را حل مي كنيم. وجود و يكتايي جواب و همگرايي روش هاي مذكور را اتبات كرده و در مثالي سرعت همگرايي اين روشها را با هم مقايسه مي كنيم.

In this paper, the Sawada-Kotera 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.