Results 61 to 70 of about 1,976 (86)

A New Application of Homotopy Perturbation Method to the Reaction-diffusion Brusselator Model

open access: yes, 2010
In this work, an analytical expression for the solution of the the reaction-diffusion Brusselator model is derived by the homotopy-perturbation method. The advantage of this work is twofold.
Hassan, T.H.   +7 more
core   +1 more source

Simulation of the predator-prey problem by the homotopy-perturbation method revised

open access: yes, 2008
In this paper, the predator-prey problem is revisited. Previous solution by homotopy-perturbation method (HPM) is improved by treating the homotopy-perturbation method as an algorithm in a sequence of intervals (i.e.
Roslan, R.   +2 more
core   +1 more source

Homotopy Perturbation Method for the Strongly Nonlinear Darcy-Forscheimer Model

open access: yes, 2015
We derive approximate analytical solution to the strongly nonlinear Darcy-Forscheimer model through the homotopy perturbation method. The approximate solutions compared well with numerical results computed via the bvp4c routine of Matlab as well as ...
Akindeinde, Saheed Ojo
core  

Application of Homotopy Perturbation Method to Nonlinear System of PDEs

open access: yes, 2015
In this study, Homotopy Perturbation Method (HPM) is used to obtain the analytically exact solution of linear and nonlinear systems of partial differential equations (PDEs).
Ahmad, Jamshad, Mohiuddin, Ghulam
core  

Modification of Homotopy Perturbation method for addressing systems of PDEs

open access: yes
This work employs a refined variation of the Homotopy Perturbation Method (HPM), termed the Modified Homotopy Perturbation Method (MHPM), designed to obtain accurate solutions for significant systems of partial differential equations (PDEs).
Osama Alkhazaleh
core   +1 more source

HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES

open access: yes, 2009
: In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as modelling the pollution of a system of lakes. The proposed scheme is based on homotopy
Mehmet MERDAN
core  

Assessment of Homotopy Analysis Method and Modified Homotopy Perturbation Method for Strongly Nonlinear Oscillator

open access: yes, 2013
: Some recently developed analytical methods namely; homotopy analysis method, homotopy perturbation method and modified homotopy perturbation method are applied successfully for solving strongly nonlinear oscillators.
Srikumar Panda
core  

Solving Fourth Order Parabolic PDE with Variable Coefficients Using Aboodh Transform Homotopy Perturbation Method

open access: yes, 2015
: Here, a new method called Aboodh transform homotopy perturbation method (ATHPM) is used to solve one dimensional fourth order parabolic linear partial differential equations with variable coefficients.
Khalid Suliman Aboodh
core  
Some of the next articles are maybe not open access.

Comparison of homotopy perturbation method and homotopy analysis method

Applied Mathematics and Computation, 2004
Ji-Huan He
exaly  

Asymptotology by homotopy perturbation method

Applied Mathematics and Computation, 2004
Ji-Huan He
exaly  

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