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
doaj +4 more sources
The homotopy perturbation method for nonlinear oscillators [PDF]
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shou, Da-Hua
exaly +4 more sources
Comparison between Adomian’s method and He’s homotopy perturbation method [PDF]
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turgut ÖZİŞ
exaly +5 more sources
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
Variational homotopy perturbation method for solving systems of homogeneous linear and nonlinear partial differential equations [PDF]
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
doaj +2 more sources
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
Applied Mathematics, 2018 In this paper, comparison of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to the solution of the partial differential equation. For illustration and more explanation of the idea, some examples are provided.
Mohamed Elbadri
exaly +3 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
An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method. [PDF]
Heliyon, 2019 Hussain S, Shah A, Ayub S, Ullah A.
europepmc +2 more sources
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
doaj +1 more source