Preface ......................................................... v
1 Chance and Challenge: A Brief Review of Homotopy Analysis
Method ....................................................... 1
S.-J. Liao
2 Predictor Homotopy Analysis Method (PHAM) ................... 35
S. Abbasbandy and E. Shivanian
3 Spectral Homotopy Analysis Method for Nonlinear Boundary
Value Problems .............................................. 85
S. Motsa and P. Sibanda
4 Stability of Auxiliary Linear Operator and Convergence-
Control Parameter .......................................... 123
R.A. Van Gorder
5 A Convergence Condition of the Homotopy Analysis Method .... 181
M. Turkyilmazoglu
6 Homotopy Analysis Method for Some Boundary Layer Flows of
Nanofluids ................................................. 259
T. Hayat and M. Mustafa
7 Homotopy Analysis Method for Fractional Swift-Hohenberg
Equation ................................................... 291
S. Das and K. Vishal
8 HAM-Based Package NOPH for Periodic Oscillations of
Nonlinear Dynamic Systems .................................. 309
Y.-P. Liu
9 HAM-Based Mathematica Package BVPh 2.0 for Nonlinear
Boundary Value Problems .................................... 361
Y.-L. Zhao and S.-J. Liao
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