نتایج جستجو برای: homotopy perturbationmethod hpm
تعداد نتایج: 10245 فیلتر نتایج به سال:
The steady thin film flow on a vertical belt of a non-Newtonian Johnson–Segalman fluid for lifting and drainage problems are investigated in this paper. The analytical solutions of the non-linear problems are obtained by Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). Expressions for the velocity profile, average velocity, volume flux, the belt speed of the lifting an...
In this paper, homotopy perturbation and modified Lindstedt-Poincare methods are employed for nonlinear free vibrational analysis of simply supported and double-clamped beams subjected to axial loads. Mid-plane stretching effect has also been accounted in the model. Galerkin's decomposition technique is implemented to convert the dimensionless equation of the motion to nonlinear ordinary differ...
Abstract We propose a new modification of homotopy perturbation method (HPM) called the δ -homotopy transform ( -HPTM). This consists Laplace method, HPM, and control parameter . convergence in this helps adjusting controlling region series solution overcome some limitations HPM HPTM. The -HPTM q-homotopy analysis (q-HATM) are considered to study generalized time-fractional perturbed $(3+1)$ <m...
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 and compared w...
This paper presents the application of the Homotopy Analysis Method (HAM) as a numerical solution to linear integro-differential equation. The HAM contains the auxiliary parameter , taht provides a powerful tool to analyze strongly linear and nonlinear problems. Examples are provided to demonstrate the advantages of HAM over the homotopy perturbation method (HPM), sine-cosine wavelets and CAS w...
In this article, we focus on linear and nonlinear fuzzy Volterra integral equations of the second kind and we propose a numerical scheme using homotopy perturbation method (HPM) to obtain fuzzy approximate solutions to them. To facilitate the benefits of this proposal, an algorithmic form of the HPM is also designed to handle the same. In order to illustrate the potentiality of the approach, tw...
in this paper, we apply the homotopy analysis method (ham) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the ham. also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the ham is applied to linear system of equations. comparisons are made between the ...
Abstract: This study focus on the solution of the generalized Korteweg and de Vries (KdV) by using homotopy perturbation method (HPM). The HPM has the capabilities to bereave the complicated differential equation models to number of simple iterative models once the effective initial guess satisfying the boundary conditions is made and leads to generic solutions in addition to their rapid conver...
Generalized approximation technique for a solution of one-dimensional steady state heat transfer problem in a slab made of a material with temperature dependent thermal conductivity, is developed. The results obtained by the generalized approximation method (GAM) are compared with those studied via homotopy perturbation method (HPM). For this problem, the results obtained by the GAM are more ac...
In this paper, we prove the convergence of homotopy analysis method (HAM). We also apply the homotopy analysis method to obtain approximate analytical solutions of systems of the second kind Volterra integral equations. The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of series solutions. It is shown that the solutions obtain...
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