Results 11 to 20 of about 183,315 (287)
Rational Homotopy Perturbation Method [PDF]
Journal of Applied Mathematics, 2012 The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations.
Héctor Vázquez-Leal
doaj +3 more sources
Homotopy perturbation method coupled with the enhanced perturbation method [PDF]
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
doaj +2 more sources
Fuzzy integration using homotopy perturbation method [PDF]
Journal of Fuzzy Set Valued Analysis, 2013 Complicated fuzzy integrals are difficult to solve, and cannot be expressed in terms of elementary functions or analytical formulae. In this paper, we calculate the fuzzy integrals by using homotopy perturbation method. Some examples are given, revealing
Mahmoud Paripour, Nemat Najafi
core +2 more sources
Nonlinearities distribution Laplace transform-homotopy perturbation method. [PDF]
Springerplus, 2014 Abstract This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms.
Filobello-Nino U +11 more
europepmc +4 more sources
Homotopy Perturbation Method for a Modified
Journal of Mathematical Extension, 2009 In this article, the Homotopy Perturbation Method (HPM) is employed to approximate solutions of a modified Lotka - Volterra equation. HPM has been introduced by He to solve approximately linear or nonlinear differential equations.
E. Hesameddini, A. Peyrovi
doaj +1 more source
Evaluation of fractional-order equal width equations with the exponential-decay kernel
AIMS Mathematics, 2022 In this article we consider the homotopy perturbation transform method to investigate the fractional-order equal-width equations. The homotopy perturbation transform method is a mixture of the homotopy perturbation method and the Yang transform.
Manal Alqhtani +4 more
doaj +1 more source
Fractals, 2023 There is considerable literature on solutions to the gas-dynamic equation (GDE) and Fokker–Planck equation (FPE), where the fractional derivative is expressed in terms of the Caputo fractional derivative.
Muhammad Imran Liaqat +3 more
semanticscholar +1 more source
Facta Universitatis, Series: Mechanical Engineering, 2021 This paper highlights Li-He’s approach in which the enhanced perturbation method is linked with the parameter expansion technology in order to obtain frequency amplitude formulation of electrically actuated microbeams-based microelectromechanical system (
N. Anjum, Jihuan He, Q. Ain, Dan Tian
semanticscholar +1 more source
Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations [PDF]
New Journal of Physics, 2021 While quantum computing provides an exponential advantage in solving linear differential equations, there are relatively few quantum algorithms for solving nonlinear differential equations.
Cheng Xue, Yuchun Wu, G. Guo
semanticscholar +1 more source
THE ENHANCED HOMOTOPY PERTURBATION METHOD FOR AXIAL VIBRATION OF STRINGS
Facta Universitatis, Series: Mechanical Engineering, 2021 A governing equation is established for string axial vibrations with temporal and spatial damping forces by the Hamilton principle. It is an extension of the well-known Klein-Gordon equation.
Jihuan He, Y. El‐Dib
semanticscholar +1 more source