A New Analytical of the Homotopy Analysis Method for Solving Singular Two-Point BVPs

In this paper, we will introduce a new adjustment of the homotopy analysis method (HAM) to obtain approximate or accurate solutions to problems BVPs. The results showed that this proposed amendment is very effective compared to the basic homotopy analysis method (HAM), where in most cases solutions are accurate in the first iteration. Some examples will be given to illustrate the suggested method.