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Zbl 0956.70017
He, Jihuan
Homotopy perturbation technique.
(English)
[J] Comput. Methods Appl. Mech. Eng. 178, No.3-4, 257-262 (1999). ISSN 0045-7825

Summary: The homotopy perturbation technique does not depend upon a small parameter in the equation. By the homotopy technique in topology, a homotopy can be constructed with an imbedding parameter $p\in [0,1]$, which is considered as a small parameter''. Here we give some examples, and demonstrate that the approximations obtained by the proposed method are uniformly vaild not only for small parameters, but also for very large parameters.
MSC 2000:
*70K60 General perturbation schemes
70-08 Computational methods (mechanics of particles and systems)
34E10 Asymptotic perturbations (ODE)

Keywords: large parameter; Lighthill equation; Poincaré-Lighthill-Kuo method; Duffing equation; homotopy perturbation technique; imbedding parameter

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