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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
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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
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Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method [PDF]
The Scientific World Journal, 2014 The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations.
Constantin Bota, Bogdan Căruntu
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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
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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
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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
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Desimal, 2021 The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla +3 more
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Epidemic model analyzed via particle swarm optimization based homotopy perturbation method
Informatics in Medicine Unlocked, 2020 In this paper, the problem of the spread of a non-fatal disease in a population known as a nonlinear epidemic model is solved using an Optimized Homotopy Perturbation Method (OHPM).
M.J. Mahmoodabadi
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Partial Differential Equations in Applied Mathematics, 2023 The homotopy perturbation method is extend to derive the approximate solution of the variable order fractional partial differential equations with time delay. The variable order fractional derivative is taken in the Caputo sense. An approximation formula
Adnan K. Farhood, Osama H. Mohammed
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On the coupling of least squares method and homotopy perturbation method for the solution of differential-algebraic equations and its applications in optimal control problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 In this paper, two semi-analytical techniques are introduced to compute the solutions of differential-algebraic equations (DAEs), called the Least Squares Repetitive Homotopy Perturbation Method (LSRHPM) and the Least Squares Span Repetitive Homotopy ...
Azar Shabani +3 more
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