ABSTRACT
In the early 1990s of 20th century, Doc. Liao proposed the HAM (Liao 1992) based on homotopy, a fundamental conception in topology and dierential geometry. The method oers great freedom in choosing initial approximate solution, auxiliary linear operators. At the same time, it has the function to regulate the region and the convergent rate of the series. Because of the freedom and the advantages mentioned above, it was applied to solve practical problems more and more widely. But the existence of huge computation makes the procedure complex in practical operation. To simplify the process of computation, this paper applies the iteration to the HAM, the advantage of HAM will not be influenced at all.
