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He, Jihuan

Comparison of homotopy perturbation method and homotopy analysis method. (English) Zbl 1062.65074

Appl. Math. Comput. 156, No. 2, 527-539 (2004).
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.

Cited in 183 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations

Keywords:

Homotopy technique; Nonlinear equation; Duffing equation; Modified Lindstedt-Poincaré techniques; Falkner-Skan equation; homotopy perturbation method
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\textit{J. He}, Appl. Math. Comput. 156, No. 2, 527--539 (2004; Zbl 1062.65074)
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References:

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