Abstract:
This article discusses a new iterative method based on the variational iteration
technique, which is free from second derivative. This method has two-step in which
the rst-step is Newton's method. In the discussion three speci c cases by choosing
certain free functions in a general form of the variational iteration technique are
mentioned. Analytically it is shown that the general form of the method is of order
three. To see the performance of the method, the comparison with two known
methods is also given.