Results 41 to 50 of about 1,976 (86)
Comments on Homotopy Perturbation Method for Solving Reaction-Diffusion Equations [PDF]
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
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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
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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
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. 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
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Homotopy perturbation method for solving hyperbolic partial differential equations
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.
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Applications of homotopy perturbation method for nonlinear partial differential equations [PDF]
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.
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Improving homotopy perturbation method with optimal Lagrange interpolation polynomials
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
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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.
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Homotopy perturbation method for nonlinear oscillators with coordinate-dependent mass
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
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Homotopy Perturbation Method For Fractional Shallow Water Equations
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
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