ABSTRACT
In Chapter 2 the basic ideas of the homotopy analysis method are illustrated by a simple nonlinear problem. Here a systematic description is given for general nonlinear problems.
In most cases a nonlinear problem can be described by a set of governing equations and initial and/or boundary conditions. For brevity, let us consider here only one nonlinear equation in a general form:
N [u(r, t)] = 0, (3.1) where N is a nonlinear operator, u(r, t) is an unknown function, and r and t denote spatial and temporal independent variables, respectively.
