Results 41 to 50 of about 1,976 (86)

Comments on Homotopy Perturbation Method for Solving Reaction-Diffusion Equations [PDF]

open access: yes, 2012
The paper entitled Homotopy perturbation method for solving reaction diffussion equation contains some mistakes and misinterpretations along with a false conclusion. Applying the homotopy perturbation method (HPM) in an incorrect manner, the authors have
Aslanov, Afgan
core   +1 more source

Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM)

open access: yes, 2014
In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Tahir Khan   +2 more
core  

Application of homotopy perturbation method to the Navier-Stokes equations in cylindrical coordinates

open access: yes, 2015
This paper deals with the approximate analytical solution of the Navier-Stokes equations in cylindrical coordinates. The homotopy perturbation method is used to get the analytical approximation.
H. A. Wahab   +2 more
core  

A New Algorithm Based on the Homotopy Perturbation Method For a Class of Singularly Perturbed Boundary Value Problems

open access: yes, 2013
. In this paper, a new algorithm is presented to approximate the solution of a singularly perturbed boundary value problem with leftlayer based on the homotopy perturbation technique and applying the Laplace transformation. The convergence theorem and
S. M. Hossein   +3 more
core  

Homotopy perturbation method for solving hyperbolic partial differential equations

open access: yes, 2008
This paper applies the homotopy perturbation method proposed by Ji-Huan He, to obtain approximate analytic solutions of hyperbolic partial differential equations.The procedure of the method is systematically illustrated.
Biazar, J., Ghazvini, H.
core   +1 more source

Applications of homotopy perturbation method for nonlinear partial differential equations [PDF]

open access: yes, 2017
Homotopy perturbation method is simply applicable to the different non-linear partial differential equations. In this paper, Drinfeld-Sokolov and Modified Benjamin-Bona-Mahony equations are is studied perturbatively by using homotopy perturbation ...
Mart H.Y., Yildiz G., Daghan D.
core  

Improving homotopy perturbation method with optimal Lagrange interpolation polynomials

open access: yes, 2012
In this paper, an efficient modification of the homotopy perturbation method by using optimal Lagrange interpolation polynomials is presented. The proposed method is easy to implement and computationally very attractive.
Babolian, E.   +2 more
core   +1 more source

Homotopy Perturbation Method

open access: yes
The homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem.

core   +1 more source

Homotopy perturbation method for nonlinear oscillators with coordinate-dependent mass

open access: yes, 2018
Nonlinear oscillators with no linear term or negative linear term are difficult to be solved analytically. This paper shows that the homotopy perturbation method can be effectively applied to such kinds of nonlinear oscillator by the parameter expansion ...
Ji-Huan He, Yue Wu
core   +1 more source

Homotopy Perturbation Method For Fractional Shallow Water Equations

open access: yes, 2014
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled   +3 more
core   +1 more source

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