Results 21 to 30 of about 3,488 (215)
Nonlinear Engineering, 2019 We apply homotopy perturbation transformation method (combination of homotopy perturbation method and Laplace transformation) and homotopy perturbation Elzaki transformation method on nonlinear fractional partial differential equation (fpde) to obtain a ...
Singh Prince, Sharma Dinkar
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ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM) [PDF]
Matrix Science Mathematic, 2019 In this article, we want to find the analytic approximate solution of nonlinear problems by using Homotopy Perturbation Method. Using the Homotopy Perturbation Method once we express the nonlinear problem into infinite number of sub linear problems and ...
Ihtisham ul Haq
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Electromagnetic Nondestructive Testing by Perturbation Homotopy Method [PDF]
Mathematical Problems in Engineering, 2014 Now electromagnetic nondestructive testing methods have been applied to many fields of engineering. But traditional electromagnetic methods (usually based on least square and local iteration) just roughly give the information of location, scale, and quality.
Ding, Liang, Cao, Jun
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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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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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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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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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