Application of Parameter-expanding Method to Strongly Nonlinear Oscillators

By Da-Hua Shou, Ji-Huan He. International journal of nonlinear sciences and numerical simulation, 2007

186 citations recorded by the source corpus.

The parameter-expanding method is applied to a strongly nonlinear oscillator. The obtained frequency is of high accuracy which is valid for the whole solution domain. Comparison of the obtained solution with exact solution is also given.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/79d4e52836ea15387406597982a3e3be9ccfda5e

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Citations in the corpus

Nonlinear oscillator with discontinuity by parameter-expansion method (2008, unknown): “In this paper, we apply the parameter-expansion method [18–21] to the problem we are discussing.”
Recent development of the homotopy perturbation method (2008, methodology): “For detailed solution procedure for parameterexpansion method, please refer to [24], [28] and [29].”
Exp-function Method for the Discrete mKdV Lattice (2007, background): “c2w„ = (a-u(2)n)(un+] -«„_,) (2) There are many approaches to searching for various solitonary solutions for nonlinear differential equations, such as the homotopy perturbation method[3-9], the variational iteration methods[10-16], and the parameter-expanding method[17], A review on recently develop”