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Zbl 1120.65084
Xu, Lan
He's parameter-expanding methods for strongly nonlinear oscillators. (English)
[J] J. Comput. Appl. Math. 207, No. 1, 148-154 (2007). ISSN 0377-0427

Summary: {\it Ji-Huan He}'s work [Int. J. Nonlinear Sci. Numer. Simul. 2, No. 3, 257--264 (2001; Zbl 1072.34508); Int. J. Non-Linear Mech. 37, No. 2, 309--314 (2002; Zbl 1116.34320)] on asymptotic techniques is briefly reviewed, and his parameter-expanding methods including the modified Lindstedt-Poincare method and the bookkeeping parameter method are discussed in detail. Some remarkable virtues of the methods are exploited, and their applications are illustrated.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: perturbation method; nonlinear oscillator; modified Lindstedt-Poincaré method; bookkeeping parameter method

Citations: Zbl 1072.34508; Zbl 1116.34320

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