چکیده (انگلیسی):

In this article variational iteration method (VIM), established by He in (1999), is considered to solve nonlinear Bergur's equation. This method is a powerful tool for solving a large number of problems. Using variational iteration method, it is possible to find the exact solution or a closed approximate solution of a problem. Comparing the results with those of Adomian's decomposition and finite difference methods reveals significant points. To illustrate the ability and reliability of the method, some examples are provided.