Homotopy Analysis Method in Nonlinear Differential Equations
Springer & Higher Education Press, Heidelberg, 2012.
Homotopy Analysis Method in Nonlinear Differential Equations presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts.