Results 21 to 30 of about 183,315 (287)

Homotopy Perturbation Method for the Fractal Toda Oscillator

Fractal and Fractional, 2021
The fractal Toda oscillator with an exponentially nonlinear term is extremely difficult to solve; Elias-Zuniga et al. (2020) suggested the equivalent power-form method.
Jihuan He, Y. El‐Dib, A. A. Mady
semanticscholar   +1 more source

Modified homotopy perturbation method and its application to analytical solitons of fractional-order Korteweg–de Vries equation

Beni-Suef University Journal of Basic and Applied Sciences, 2022
Experimentally brought to light by Russell and hypothetically explained by Korteweg–de Vries, the KDV equation has drawn the attention of several mathematicians and physicists because of its extreme substantial structure in describing nonlinear evolution
A. Alaje, M. Olayiwola, K. Adedokun, J. Adedeji, A. Oladapo   +4 more
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A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential-Decay Kernel

Journal of Function Spaces, 2021
In this paper, we introduce the Yang transform homotopy perturbation method (YTHPM), which is a novel method. We provide formulae for the Yang transform of Caputo-Fabrizio fractional order derivatives.
Shabir Ahmad, A. Ullah, A. Akgül, M. de La Sen   +3 more
semanticscholar   +1 more source

Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method

Abstract and Applied Analysis, 2022
In this paper, we combine the Elzaki transform method (ETM) with the new homotopy perturbation method (NHPM) for the first time. This hybrid approach can solve initial value problems numerically and analytically, such as nonlinear fractional differential
Mohamed Z. Mohamed, Mohammed Yousif, Amjad E. Hamza   +2 more
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Application of homotopy perturbation method to the radial thrust problem

Astrodynamics, 2022
The dynamics of a spacecraft propelled by a continuous radial thrust resembles that of a nonlinear oscillator. This is analyzed in this work with a novel method that combines the definition of a suitable homotopy with a classical perturbation approach ...
L. Niccolai, A. Quarta, G. Mengali
semanticscholar   +1 more source

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

Homotopy perturbation method for solving time-fractional nonlinear Variable-Order Delay Partial Differential Equations

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, Alireza Fatehi, Fahimeh Soltanian, Reza Jamilnia   +3 more
doaj   +1 more source

Homotopy perturbation and Elzaki transform for solving Sine-Gorden and Klein-Gorden equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2013
In this paper, the homotopy perturbation method (HPM) and Elzaki transform is employed to obtain the approximate analytical solution of the Sine Gorden and the Klein Gorden equations. The nonlinear terms can be handled by the use of homotopy perturbation
E. Hesameddini, N. Abdollahy
doaj   +1 more source

Damped Mathieu Equation with a Modulation Property of the Homotopy Perturbation Method

Sound&Vibration, 2022
In this article, the main objective is to employ the homotopy perturbation method (HPM) as an alternative to classical perturbation methods for solving nonlinear equations having periodic coefficients.
Yusry O. El-Dib, Nasser S. Elgazery
semanticscholar   +1 more source