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Two Modifications of the Homotopy Perturbation Method for Nonlinear Oscillators [PDF]
Journal of Applied and Computational Mechanics, 2020 Nonlinear vibration arises in engineering and physics, and the periodic motion of these nonlinear oscillatory systems have rich dynamics. An estimation of amplitude-frequency relationship of a nonlinear oscillator is much needed, therefore, well-known ...
Naveed Anjum, Ji-Huan He
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Homotopy perturbation method coupled with the enhanced perturbation method
Journal of Low Frequency Noise, Vibration and Active Control, 2019 The enhanced perturbation method is used to improve a governing equation to a higher order, followed by the classic perturbation method. This paper adopts the basic idea of the method to construct a homotopy equation with a higher order. The results show
Xiao-Xia Li, Chun-Hui He
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A reliable algorithm for KdV equations arising in warm plasma
Nonlinear Engineering, 2016 The aim of the present work is to propose a simple and reliable algorithm namely homotopy perturbation transform method (HPTM) for KdV equations in warm plasma. The homotopy perturbation transform method is a combined form of the Laplace transform method
Goswami Amit +2 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2021 This paper couples Li–He’s homotopy perturbation method with the energy method to obtain an approximate solution of a tangent nonlinear packaging system.
Qiu-Ping Ji +3 more
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Advances in Mathematical Physics, 2017 We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE).
F. A. Hendi, M. M. Al-Qarni
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A computational approach for fractional convection-diffusion equation via integral transforms
Ain Shams Engineering Journal, 2018 In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
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An improved homotopy perturbation method for solving local fractional nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2019 Local fractional nonlinear oscillators are studied by a modification of the homotopy perturbation method coupled with the variational iteration method.
Yong-Ju Yang, Shun-Qin Wang
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Embedding Optimization of Layouts via Distortion Minimization
Computer Graphics Forum, EarlyView.Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
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On the convergence of Homotopy perturbation method [PDF]
, 2015 In many papers, Homotopy perturbation method has been presented as a method for solving non-linear equations of various kinds. Using Homotopy perturbation method, it is possible to find the exact solution or a closed approximate to the solution of the ...
Biazar, Jafar, Ayati, Zainab
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Numerical simulation of fifth order KdV equations occurring in magneto-acoustic waves
Ain Shams Engineering Journal, 2018 In this work, we aim to apply a numerical approach based on Homotopy perturbation transform method (HPTM) for derive the exact and approximate solutions of nonlinear fifth order KdV equations for study magneto-acoustic waves in plasma.
Amit Goswami +2 more
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