Results 21 to 30 of about 16,217 (190)
Homotopy Perturbation Method for Brachistochrone Problem [PDF]
Mathematics and Statistics, 2013 The most famous classical variational principle is the so-called Brachistochrone problem. In this work, Homotopy perturbation method (HPM) is applied to the Brachistochrone problem that arises invariational problems. The results reveal the efficiency and the accuracy of the proposed method.
Parivash Shams Derakhsh +1 more
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He’s multiple scales method for nonlinear vibrations
Journal of Low Frequency Noise, Vibration and Active Control, 2019 He’s multiple scales method is a couple of the homotopy perturbation method and the multiple scales technology in the classic perturbation method. This method has been proved to be a powerful mathematical tool to various nonlinear equations, and it is ...
Zhong-Fu Ren, Shao-Wen Yao, Ji-Huan He
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Nonlinear Engineering, 2017 In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is applied to solve nonlinear fifth order Korteweg de Vries (KdV) equations. The method is known as homotopy perturbation transform method (HPTM).
Sharma Dinkar +2 more
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New treatment of fractional Fornberg–Whitham equation via Laplace transform
Ain Shams Engineering Journal, 2013 In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking.
Jagdev Singh +2 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper attempts to propose and investigate a modification of the homotopy perturbation method to study hypersingular integral equations of the first kind.
Reza Novin +1 more
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Advances in Mechanical Engineering, 2019 This article shows the solution of nonlinear differential equations by a new analytical technique called modified optimal homotopy perturbation method. Daftardar-Gejji and Jafari polynomials are used in the proposed method for the expansion of nonlinear ...
Liaqat Ali +3 more
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Modification of the Homotopy Perturbation Method and It's Convergence
Walailak Journal of Science and Technology, 2014 There are some methods to obtain approximate solutions of functional equations. One of them is the homotopy perturbation method. However, computing coefficients of pj, is time-consuming and challenging.
Zainab AYATI, Jafar BIAZAR
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Homotopy Perturbation Method with an Auxiliary Term [PDF]
Abstract and Applied Analysis, 2012 The two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess. The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution property, and the initial solution can be chosen with ...
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Neutron star under homotopy perturbation method [PDF]
Annals of Physics, 2019 31 pages, 8 ...
Abdul Aziz +3 more
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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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