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Perturbation method

Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method

Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method

... homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to the ...

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A diagrammatic analysis of the variational perturbation method for classical fluids

A diagrammatic analysis of the variational perturbation method for classical fluids

... variational perturbation method for classical fluids, which has been widely used to describe nonuniform electrolyte ...the method, which greatly facilitates the enumeration and evaluation of higher ...

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Double-Reflecting Data Perturbation Method for Information Security

Double-Reflecting Data Perturbation Method for Information Security

... It has been analyzed that the privacy or the security level of the confidential data is improved a lot by the proposed method for Encryption and Decryption. The Security level of the Double Reflecting Data ...

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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 ...homotopy perturbation method is powerful mathematical tool for solutions of nonlinear partial ...

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HOMOTOPY PERTURBATION METHOD FOR SOLVING FLOW IN THE EXTRUSION PROCESSES

HOMOTOPY PERTURBATION METHOD FOR SOLVING FLOW IN THE EXTRUSION PROCESSES

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

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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 ...Homotopy perturbation method (HPM), variational iterative ...

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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 two ...

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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

... the perturbation method and the homotopy method is called the homotopy perturbation method (HPM), which has eliminated the limitations of the traditional perturbation ...

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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.

... 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 Method, and ...

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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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Elzaki transform homotopy perturbation method for partial differential equations

Elzaki transform homotopy perturbation method for partial differential equations

... analysis method [3], homotopy perturbation method [4], variational iteration method [5], differential transformation method [6], adomian decomposition method [7], sumudu ...

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Perturbation method for linear difference equations with small parameters

Perturbation method for linear difference equations with small parameters

... iterative method. This method improves the singular perturbation method, it o ff ers considerable reduction and simplicity in computation since it does not require to compute boundary layer ...

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A Comparison Among Homotopy Perturbation Method And The Decomposition Method With The Variational Iteration Method For Dispersive Equation

A Comparison Among Homotopy Perturbation Method And The Decomposition Method With The Variational Iteration Method For Dispersive Equation

... Exp-function method [1–2], Adomian decomposition method [3–7], variational iteration method [8–10] and Homotopy-perturbation method ...

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A New Approach Towards Laplace Homotopy Perturbation Method

A New Approach Towards Laplace Homotopy Perturbation Method

... Abstract. Laplace Homotopy Perturbation method is projected in a modified form to solve highly nonlinear differential equations.This approach simplifies the equations and avoid the computations of Laplace ...

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The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation

The Homotopy Perturbation Method for Solving the Kuramoto – Sivashinsky Equation

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

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Homotopy Perturbation Method for Solving the Fractional Fisher's Equation

Homotopy Perturbation Method for Solving the Fractional Fisher's Equation

... homotopy perturbation method (HPM). This method was established in 1998 by He ([5]-[9]) and applied by many researchers to solve various linear and nonlinear problems (see [10]- ...The method ...

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Propagative and Evanescent Waves Diffracted by Periodic Surfaces: Perturbation Method

Propagative and Evanescent Waves Diffracted by Periodic Surfaces: Perturbation Method

... In the case of a surface with groove depth small compared to its period we have written the propagation equation in a translation coordinate system and we have associated operators to the different coefficients of the ...

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Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

... homotopy perturbation method is applied to solve moving boundary and isoperimetric ...This method does not depend upon a small parameter in the equation, homotopy is constructed with an imbedding ...

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An improvement to the homotopy perturbation
 method for solving integro-differential equations

An improvement to the homotopy perturbation method for solving integro-differential equations

... homotopy perturbation meth- ...homotopy perturbation method for solv- ing Fredholm type integro-differential ...homotopy perturbation method (MHPM) to solve nonlinear Fredholm integral ...

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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation

Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation

... [2] Gurhan Gurarslan and Murat Sari 2009 “Numerical solutions of linear and nonlinear diffusion equation by a differential quadrature method” Int. J. Nume. Meth. Biomed. Engg. Vol. 27 Pp-69-77. [3] J.H. He, 2003 “ ...

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