نتایج جستجو برای: standard modified homotopy perturbation method

تعداد نتایج: 2273373  

2012
M. A. Asadi F. Salehi S. T. Mohyud-Din M. M. Hosseini

In this paper, an efficient modification is introduced into the well-known homotopy perturbation method which proves very effective to control the convergence region of approximate solution. By using this scheme, explicit exact solution is calculated in the form of a convergent power series with easily computable components. The proposed algorithm is tested on some neutral stiff functional-diff...

Journal: :Computers & Mathematics with Applications 2009
Shaher Momani G. H. Erjaee Modi H. Alnasr

In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy perturbation method (MHPM) utilizes an alternative framework to capture the periodic behavior of the solution, which is characteristic of oscillator equations, and to give a ...

2014
Constantin Bota Bogdan Căruntu

The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the h...

Journal: :international journal of mathematical modelling and computations 0
m. matinfar faculty of sciences, mazandaran university, iran iran, islamic republic of department of mathematics m. mahdavi faculty of sciences, mazandaran university, iran iran, islamic republic of department of mathematics

in this paper, we consider the variational homotopy perturbation method (vhpm) to obtain an approximate series solution for the generalized fisher’s equation which converges to the exact solution in the region of convergence. comparisons are made among the variational iteration method (vim), the exact solutions and the proposed method. the results reveal that the proposed method is very effectiv...

2012
F. Salehi M. A. Asadi

This paper presents using a new modified homotopy perturbation method (NHPM) for solving linear and nonlinear systems of differential-algebraic equations (DAEs) of index one or higher index without index reduction. By using this scheme, explicit exact solution is calculated in the form of a convergent power series with easily computable components. Some examples are given to illustrate the simp...

2012
K. Karthikeyan V. M. Chandrasekaran Vinay Kanwar

In this paper, we propose few numerical algorithms for minimization of unconstrained non-linear functions by using Modified homotopy perturbation method and the another new algorithm based on Modified Adomian decomposition method. Then comparative study among the seven new algorithms and Newton’s algorithm is established by means of examples.

By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...

Journal: :Journal of Low Frequency Noise, Vibration and Active Control 2018

Journal: :J. Applied Mathematics 2012
Héctor Vázquez-Leal

The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method RHPM as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first exa...

آ عزیزی, ا بابلیان ج سعیدیان

Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizi...

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