Comparison between the homotopy analysis method and homotopy perturbation method

By Shijun Liao. Applied Mathematics and Computation, 2005

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Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation (2011, methodology): “is rather general and contains the homotopy perturbation method (HPM) [11,12], the Adomian decomposition method (ADM) [13] and d-expansion method.”
Explicit analytical solutions of the generalized Burger and Burger–Fisher equations by homotopy perturbation method (2009, methodology): “The solution given by the HAM is as the same solution given by the HPM, when auxiliary parameter and auxiliary nonzero function are chosen −1 and 1, respectively [4].”