# Homotopy Perturbation 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 ...

8

### 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 ...

22

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

... the homotopy perturbation method (HPM) has been successfully applied to solve the dynamics of a coupled spring system with cubic ...efficient method for obtaining solutions of nonlinear ...

14

### 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 ...

6

### Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator

... The homotopy pertirabation method is one of the important methods to find the approximate solutions for non- linear partial differential equations in mathematical ...The homotopy perturbation ...

10

### 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 ...

8

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

... He’s Homotopy perturbation method suggested in this article is an efficient method for obtaining the most accurate solution of a highly nonlinear partial differential equation with initial ...

6

### 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 ...

6

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

... the homotopy perturbation method (HPM) [1, 7] in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under study ...

7

### 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 ...

6

### Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

... paper, 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 ...

7

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

... where a, b, g and f are continuous functions in some region of the plane and g() = . By solving this boundary value problem by the homotopy perturbation method, we obtain an approximate or exact ...

11

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

... new homotopy perturbation, a new local fractional α - integral transform method is proposed to solve nonlinear fractional gas dynamics ...decomposition method The results obtained by the two ...

7

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

... modiﬁed homotopy perturbation meth- ...improved homotopy perturbation method for solv- ing Fredholm type integro-diﬀerential ...modiﬁed homotopy perturbation method ...

11

### 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 “ ...

7

### 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 ...

8

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

... optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher ...the method will be shown by solving some examples of ...

11

### 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 ...

9

### 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 ...

5

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

... H u p = − p F u + p E u − F u . (2.2) where F u ( ) is a functional operator with the known solution v 0 . It is clear that when p is equal to zero then H u ( ) , 0 = F u ( ) = 0 , and when p is equal to 1, then H u ( ) ...

10