Homotopy analysis method: A new analytic method for nonlinear problems

In this paper, the basic ideas of a new analytic technique, namely the Homo topy Analysis Method (HAM), are described. Different from perturbation meth ods, the validity of the HAM is independent on whether or not there exist s mall parameters in considered nonlinear equations. Therefore, it provides u s with a powerful analytic tool for strongly nonlinear problems. A typical nonlinear problem is used as an example to verify the validity and the grea t potential of the HAM.