Modified Homotopy Perturbation Method
Modified homotopy perturbation method for solving non-linear oscillator's equations
... In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and ...
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Homotopy Perturbation Method for Solving the Fractional Fisher's Equation
... the modified homotopy perturbation method described in [23] for handling an iterative formula easy-to-use for ...proposed method reveals to be very close to the exact solution and ...
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Analytic Approach to Investigation of Fluctuation and Frequency of the Oscillators with Odd and Even Nonlinearities
... He’s homotopy perturbation method for this ...and modified homotopy perturbation method and compare them with the numerical solution (NS), also we applied He’s Energy ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... the homotopy perturbation method (HPM) [6]-[8], the modified homotopy perturbation method (MHPM) [9], the differential transform method (DTM) [10], the varia- ...
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Volume 3, Issue 4, April 2014 Page 29
... article, Homotopy Perturbation Method is modified to some moving boundary value problem in order to obtain an approximate explicit solution with regard to phase change problem with a ...
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Finding the approximate analytical solutions of 2n (nϵR) order differential equation with boundary value problem using various techniques
... and modified PSAM.The HPM shows the less error as compared to Modified PSAM ...that Homotopy perturbation method is a highly efficient method for solving boundary value problems ...
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Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems
... y x F f y y G x d , (33) By adding a nonhomogeneous term, in moving boun- dary problems, the above equation is modified because boundary conditions are nonhomogeneous. Here, the ...
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Some traveling wave solutions of soliton family
... (KdV), Modified Korteweg-de Vries (mKdV) and Regularised Long Wave (RLW) equations using Homotopy Perturbation method ...this method to determine shock or solitary type of solutions, ...
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The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
... Decomposition method (ADM) for the exact solu- tions of Fisher’s equation and a nonlinear diffusion equation of the Fisher’s type ...used Homotopy perturbation method (HPM), variational ...
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Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems
... “Homotopy perturbation technique for solving two-point boundary value problems – comparison with other methods”, ...“Homotopy perturbation method and Padé approximants for solving ...
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A New Approach Towards Laplace Homotopy Perturbation Method
... Abstract. Laplace Homotopy Perturbation method is projected in a modified form to solve highly nonlinear differential equations.This approach simplifies the equations and avoid the ...
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A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
... [8] Ganji, D.D., 2006. The application of He’s homotopy perturbation and variational iteration methods to nonlinear heat transfer and porous media equations. Journal of Computational and Applied Mathematics ...
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A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method
... [2] Ahmed, S.A. and Elzaki, T. (2013) The Solution of Nonlinear Volterra Inte- gro-Differential Equations of Second Kind by Combine Sumudu Transforms and Adomian Decomposition Method. International Journal of ...
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Elzaki transform homotopy perturbation method for partial differential equations
... The Laplace transform is one of many integral transforms in applied mathematics and often used to solve differential equations. Solving some differential equations were difficult using the Laplace transform. In 1993 ...
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Vol 5, No 3 (2014)
... the modified HPM to various problems and demonstrated the efficiency of the HPM for handling non-linear structures and solving various physics and engineering problems ...This method is a combination of ...
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Vol 2, No 11 (2011)
... F, Homotopy perturbation method for multidimensional nonlinear coupled system of parabolic and hyperbolic equations, ...approximation method, in: ...difference method for nonlinear ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... He’s Homotopy perturbation method suggested in this article is an efficient method for obtaining the most accurate solution of a highly nonlinear partial differential equation with initial ...
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Homotopy Perturbation Method For Fractional Gas Dynamics Equation Using A New Local Fractional Integral Transform.
... the homotopy perturbation α-integral transform method is successfully applied for solving nonlinear time fractional gas dynamics ...this method is very powerful and efficient technique for ...
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An improvement to the homotopy perturbation method for solving integro-differential equations
... In this paper, a new form of the homotopy perturbation method (NHPM) has been adopted for solving integro-differential equations. In the present study, firstly the NHPM is used to the ...
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Analysis of the new homotopy perturbation method for linear and nonlinear problems
... The homotopy constructed in this technique is based on the decomposition of a source ...new method for the decomposition of a source function to accelerate the convergence of a ...proper homotopy by ...
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