Results 11 to 20 of about 11,210,734 (170)
Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method [PDF]
, 2008 The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
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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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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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A new modification of the homotopy perturbation method [PDF]
, 2010 In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method
Abu Hassan, Malik +4 more
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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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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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