The Delta-Homotopy Perturbation Method
Homotopy perturbation and analysis methods have been widely used to obtain both approximate and exact so- lutions to nonlinear problems. In general, these two methods are based on the Taylor series with respect to an embedding parameter.
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Analytical solutions for the fractional Fisher's equation [PDF]
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems.
H. Kheiri, A. Mojaver, S. Shahi
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Laplace transform homotopy perturbation method for the approximation of variational problems. [PDF]
Filobello-Nino U +13 more
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Modified homotopy perturbation method for solving hypersingular integral equations of the first kind. [PDF]
Eshkuvatov ZK +3 more
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Homotopy perturbation method with Laplace Transform (LT-HPM) for solving Lane-Emden type differential equations (LETDEs). [PDF]
Tripathi R, Mishra HK.
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In this research, the application of the homotopy perturbation method to solve nonlinear Equations arising in oscillatory systems is investigated. In this way, the performance of the Homotopy Perturbation Method (HPM) is compared with the numerical ...
Mohammadjavad Mahmoodabadi, Neda Amiri
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On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations. [PDF]
Edalatpanah SA, Rashidi MM.
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Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind. [PDF]
Narayanamoorthy S, Sathiyapriya SP.
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Homotopy perturbation method: when infinity equals five
I discuss a recent application of homotopy perturbation method to a heat transfer problem. I show that the authors make infinity equal five and analyze the consequences of that magic.
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Heat and mass transfer analysis of s-PTT nanofluid in microchannels under combined electroosmotic and pressure-driven flows with wall slip using the homotopy perturbation method. [PDF]
Kananipour M +3 more
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