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Zbl 1062.65074
He, Jihuan
Comparison of homotopy perturbation method and homotopy analysis method. (English)
[J] Appl. Math. Comput. 156, No. 2, 527-539 (2004). ISSN 0096-3003

Summary: Comparison of homotopy perturbation method (HPM) and homotopy analysis method is made,revealing that the former is more powerful than the later. Furthermore, the HPM is further developed in this paper by applying the modern perturbation methods.
MSC 2000:
*65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
65H20 Global methods, including homotopy approaches

Keywords: Homotopy technique; Nonlinear equation; Duffing equation; Modified Lindstedt-Poincaré techniques; Falkner-Skan equation; homotopy perturbation method

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