Modified Homotopy Perturbation Method (MHPM)
Modified homotopy perturbation method for solving non-linear oscillator's equations
... the homotopy pertur- bation method HPM for solving nonlinear prob- lems; second to demonstrate the basic idea of the new form of homotopy perturbation transform method (NHPTM) for ...
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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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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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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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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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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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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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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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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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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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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 Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method
... between modified Sumudu decomposition method and Homotopy perturbation ...here. Modified Sumudu decomposition method gives rapid convergence of the series solution without ...
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A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
... new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and is provided examples for the accuracy of this ...new method ...
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Vol 5, No 7 (2014)
... The Homotopy perturbation method (HPM) was proposed by Ji-Huan He in 1999 (He, 1999, 2000, 2003, 2004a, 2004b, 2005a, 2005b, ...this method, the solution is considered as the summation of an ...
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Homotopy Perturbation Method For Fractional Gas Dynamics Equation Using A New Local Fractional Integral Transform.
... called perturbation methods. The perturbation methods have some limitations; for example, the approximate solution involves series of small parameters which poses difficulty since the majority of nonlinear ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... The homotopy perturbation method introduced first by the Chinese researcher ...this method became popular and acceptable as an elegant tool in the hands of researchers because of its ...
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Solution of the fractional Zakharov-Kuznetsov equations by reduced dierential transform method
... transform method (RDTM) has been used by many authors to obtain analytical and ap- proximate solutions to nonlinear problems ...This method gives an analytical solution in the form of a polynomial, but, it ...
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An improvement to the homotopy perturbation method for solving integro-differential equations
... the method is designed in such a way that only one term of the series is ...this method, we get a truncated series solution that often coincides with the Maclaurin expansion of the true ...
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