Systematic perturbation calculation of integrals with applications to physics

Abstract

In this paper we generalize and improve a method for calculating the period of a classical oscillator and other integrals of physical interest, which was recently developed by some of the authors. We derive analytical expressions that prove to be more accurate than those commonly found in the literature, and test the convergence of the series produced by the approach.

11 pages, 5 figures

References in corpus (3)

• Presenting a new method for the solution of nonlinear problems
• High-Order Variational Calculation for the Frequency of Time-Periodic Solutions
• High order analysis of nonlinear periodic differential equations

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