Results 161 to 170 of about 16,217 (190)

Comparison between the homotopy analysis method and homotopy perturbation method

Applied Mathematics and Computation, 2005
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Comparing Homotopy Perturbation Method and Adomian Decomposition Method

AIP Conference Proceedings, 2008
In this paper, homotopy perturbation method and Adomian decomposition method, as two well known methods, for solving functional equations are compared. It has been shown that these two methods are the same, for solving special equations. For illustration and more explanation of the idea, two examples are provided.
Jafar Biazar, Zainab Ayati, Hamideh Ebrahimi   +2 more
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Homotopy perturbation method for homogeneous Smoluchowsk's equation

Numerical Methods for Partial Differential Equations, 2010
AbstractIn this work, homotopy perturbation method (HPM) has been used to solve homogeneous Smoluchowsk's equation. The results will be compared with Adomian decomposition method (ADM). It is shown that the results of the HPM are the same as those obtained by ADM. To illustrate the reliability of the method, some special cases of the equation have been
Biazar, Jafar, Ayati, Zainab, Yaghouti, Mohammad Reza   +2 more
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Application of homotopy perturbation method and homotopy analysis method to fractional vibration equation

International Journal of Computer Mathematics, 2010
In this paper, the approximate analytical solutions of the mathematical model of vibration equation with fractional-order time derivative β ...
S. Das, P. K. Gupta
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Homotopy perturbation method for coupled Schrödinger–KdV equation

Nonlinear Analysis: Real World Applications, 2009
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Homotopy–perturbation method for pure nonlinear differential equation

Chaos, Solitons & Fractals, 2006
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Generalized Integral Transforms with the Homotopy Perturbation Method

Journal of Mathematical Modelling and Algorithms in Operations Research, 2013
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Inverse Homotopy Perturbation Method for Nonlinear systems

International Journal of Scientific Research, 2012
In this paper, a new analytical technique-Inverse Homotopy Perturbation Method (IHPM) for solving vari- ous ordinary ⁄ partial differential equations and integro-differential equations have been developed. A rule for selecting the best initial approximation has also been suggested.
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Homotopy perturbation method for strongly nonlinear oscillators

Mathematics and Computers in Simulation, 2023
Ji-Huan He, Khaled A Gepreel, Yasir Khan
exaly  

Homotopy perturbation technique

Computer Methods in Applied Mechanics and Engineering, 1999
Ji-Huan He
exaly