2013
DOI: 10.1186/2251-7235-7-38
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Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques

Abstract: The current paper discusses the physical impacts of the various initial boundary conditions of the free surface of a waterbody on the initiation and propagation characteristics of water waves due to the underwater perturbations. Differences between traditional point of view and applied numerical method in this paper for exertion the initial conditions of the generated waves by surface deformation were surveyed in the Lagrangian domain vs. Eulerian. In this article, the smoothed-particle hydrodynamics (SPH) tec… Show more

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Cited by 2 publications
(2 citation statements)
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“…Venerable techniques include the energy balance methods and iteration-perturbation methods [1]. More modern techniques [2] include He's variational iteration method [3][4][5], max-min approach [6], and frequency-amplitude formulation [7][8][9][10]; the parameter expansion method [11,12]; the homotopy perturbation method [13,14] due to Liao; and the Adomian decomposition method [15,16].…”
Section: Introductionmentioning
confidence: 99%
“…Venerable techniques include the energy balance methods and iteration-perturbation methods [1]. More modern techniques [2] include He's variational iteration method [3][4][5], max-min approach [6], and frequency-amplitude formulation [7][8][9][10]; the parameter expansion method [11,12]; the homotopy perturbation method [13,14] due to Liao; and the Adomian decomposition method [15,16].…”
Section: Introductionmentioning
confidence: 99%
“…To overcome the shortcomings, many techniques have appeared in open literature, for example, parameterexpanding method [1][2][3], variational iteration method [4][5][6][7], energy balance method [8][9][10][11][12][13][14], variational approach method [15][16][17][18][19], amplitude-frequency formulation [20][21][22], homotopy perturbation method [23][24][25][26][27][28][29], and the other analytical approximate solutions [30].…”
Section: Introductionmentioning
confidence: 99%