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بررسی ارتعاشات غیرخطی چرخ دنده های درگیر به کمک روش homotopy-perturbation
بررسی ارتعاشات غیرخطی چرخ دنده های درگیر به کمک روش homotopy-perturbation...
He,s Homotopy Perturbation Method for Calculating Adomian Polynomials
The Adomian method is wiedly used in approximate caculation, its main demerit is very difficult and complex to calculate Adomian,s polynomial. This paper introduces the homotopy perturbation method for overcoming comletely the disadvantage...
Application of He’s Homotopy Perturbation Method to Linear Programming
In this paper, we use He’s homotopy perturbation method (HPM) for solving linear programming (LP)
problems. By applying HPM for this class of problems, optimal solutions of a primal LP problem and its
corresponding dual problem can...
Exact solutions for nonlinear integral equations by a modified
Abstract
In this paper, we apply a new modified homotopy perturbation method to find exact solutions for nonlinear integral equations. A
reliable modification of the homotopy perturbation method is proposed, and the modified method...
Investigating Vibratory Behavior of Nonlinear Single Unit Impact Dampers Using Perturbation Method and Genetic Algorithm
damper consisting of a pendulum and an elastic barrier. Our model incorporates Hertzian contact between the spherical steel pendulum and the barrier. In next step, due to the strong non-linearity of the model, Homotopy Perturbation and iteration...
Homotopy Perturbation Method and He’s Polynomials for Solving the Porous Media Equation
In this paper, the homotopy perturbation method (HPM) is employed to solve the porous media equation. The particular exact solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer are obtained using...
Application of Homotopy and Homotopy Perturbation Methods to Differential Equations of Heat Transfer and Shear Deformation of Beams
and the He’s Homotopy-Perturbation Method (HPM).
Nonlinear convective–radiative cooling equation, nonlinear heat equation with
cubic nonlinearity and the shear deformation of sandwich beams are used as
...
Modified Homotopy Perturbation Method for Solving the System of Volterra Integral Equations
In this paper, we use modified homotopy perturbation method(MHPM) for solving the systemof linear and non- linear Volterra integral equations. Comparisons are made between MHPM and well- known Adomain decomposition method (ADM) abd Runge- Kutta...
Investigating Application of Impact Dampers Using Homotopy Perturbation and Genetic Algorithm
the behaviour of a kind of impact dampers. Our model incorporates Hertzian contact between the impact mass and the barrie. In next step, due to the strong non-linearity of the model, Homotopy Perturbation method is used to solve the governing equation...