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Homotopy Perturbation Method (HPM)

Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method

Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method

... of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is ...

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Asymptotic Solutions of Coupled Spring Systems with Cubic Nonlinearity using Homotopy Perturbation Method

Asymptotic Solutions of Coupled Spring Systems with Cubic Nonlinearity using Homotopy Perturbation Method

... the homotopy perturbation method (HPM) to obtain analytical approximate solutions of the nonlinear differential equations which model a coupled spring system with and without damping and external ...

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Application of He's homotopy perturbation
method for solving Sivashinsky equation

Application of He's homotopy perturbation method for solving Sivashinsky equation

... proposed method (HPM) have been compared and verified with that obtained by Adomians decomposition ...that homotopy perturbation method is powerful mathematical tool for solutions of nonlinear ...

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Analysis of the new homotopy perturbation method for linear and nonlinear problems

Analysis of the new homotopy perturbation method for linear and nonlinear problems

... the homotopy perturbation method (HPM) has been employed to solve these PDEs ...coupling homotopy theory in topology with perturbation the- ...

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A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential

A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential

... new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and is provided examples for the accuracy of this ...new method ...

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A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method

A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method

... In this paper, we present a comparative study between the modified Sumudu decomposition method (MSDM) and homotopy perturbation method (HPM). The study outlines the important features of the ...

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Homotopy Perturbation Method For Fractional Gas Dynamics Equation Using  A New Local Fractional Integral  Transform.

Homotopy Perturbation Method For Fractional Gas Dynamics Equation Using A New Local Fractional Integral Transform.

... The homotopy perturbation method (HPM)was first introduced byHe ...The method that we present is a combination of a new local fraction al α – integral transform, Homotopy Pertubation ...

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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem

Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem

... is Homotopy Perturbation Method (HPM) to solve linear and nonlinear partial differential ...this method provides an analytical or exact ...this method to get most accurate solution of a ...

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HOMOTOPY PERTURBATION METHOD FOR SOLVING FLOW IN THE EXTRUSION PROCESSES

HOMOTOPY PERTURBATION METHOD FOR SOLVING FLOW IN THE EXTRUSION PROCESSES

... the homotopy perturbation method (HPM) is considered for finding approximate solutions of two-dimensional viscous ...the perturbation method depends on small parameter assumption and ...

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Homotopy Perturbation Method for Solving the Fractional Fisher's Equation

Homotopy Perturbation Method for Solving the Fractional Fisher's Equation

... modified homotopy perturbation method was successfully used for solving Fisher’s equation with time-fractional derivative, and the classical HPM has been used for solving Fisher’s equation with ...

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The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation

The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation

... The homotopy perturbation method (HPM) was first proposed by the Chinese mathematician Ji-Huan He ...the homotopy perturbation method leads to an analytical approximate and exact ...

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The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation

The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation

... Decomposition method (ADM) for the exact solu- tions of Fisher’s equation and a nonlinear diffusion equation of the Fisher’s type ...used Homotopy perturbation method (HPM), variational ...

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Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems

Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems

... decomposition method [1], homotopy Analysis method HAM [2], variational iteration method VIM [3] and homotopy perturbation method HPM ...

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Green’s function homotopy perturbation method for the initial boundary value problems

Green’s function homotopy perturbation method for the initial boundary value problems

... novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method ...

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Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model

Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model

... Abstract In the present paper, we study a homo- geneous cosmological model in Friedmann-Robertson- Walker (FRW) space-time by means of the so-called Homotopy Perturbation Method (HPM). First, we ...

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On the Exact Solution of Burgers Huxley Equation Using the Homotopy Perturbation Method

On the Exact Solution of Burgers Huxley Equation Using the Homotopy Perturbation Method

... the Homotopy Perturbation Method (HPM) which is a semi-analytical method was first pioneered by He ...the method is applied by He [2] to solve the non-linear non-homogeneous partial ...

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Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem

Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem

... the homotopy perturbation method (HPM) to compute the eigenvalues of the Sturm-Liouville problem (SLP) which is called non-definite ...reliable method for computing the eigenvalues of ...

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Elzaki transform homotopy perturbation method for partial differential equations

Elzaki transform homotopy perturbation method for partial differential equations

... are homotopy analysis method [3], homotopy perturbation method [4], variational iteration method [5], differential transformation method [6], adomian decomposition ...

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Multi-stage Homotopy-perturbation Method for the Fractional Order Chen System

Multi-stage Homotopy-perturbation Method for the Fractional Order Chen System

... multistage homotopy perturbation method is extended to solve the Chen fractional order ...multistage homotopy perturbation method is only a simple modification of the standard ...

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Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations

Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations

... Perturbation Method (LHPM) was utilized to solve some nonlinear partial differential ...transform method and the homotopy perturbation ...available Homotopy perturbation ...

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