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Approximate period calculation for some strongly nonlinear oscillation by He’s parameter-expanding methods. (English) Zbl 1163.34309

Summary: In this paper, He’s modified Lindstedt-Poincare method and bookkeeping parameter method, also known as He’s parameter-expanding method, is applied to various kinds of strongly nonlinear oscillators. We obtained sufficiently accurate solutions with one iteration which is valid for whole domain to the contrary of classical perturbation techniques.

MSC:

34A34 Nonlinear ordinary differential equations and systems
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