Homotopy perturbation
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
... of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to ...
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Applications of Homotopy perturbation Method and Sumudu Transform for Solving Fractional Initial Boundary Value problem and Fractional KDV Equation A. S. Abedl-Rady , S. Z. Rida , A. A. M. Arafa , and H. R. Abedl-Rahim
... Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt Abstract: In this paper, we make use of the properties of the Sumudu transform to find the exact solution of ...
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Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem
... Abstract In this paper, we consider the application of the homotopy perturbation method (HPM) to compute the eigenvalues of the Sturm-Liouville problem (SLP) which is called non-definite SLP. Two important ...
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A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method
... and Homotopy perturbation ...However, homotopy perturbation method provides the components of the series solution, where these components should have noise ...
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Green’s function homotopy perturbation method for the initial boundary value problems
... the homotopy perturbation method. For the SGHPM technique, the boundary conditions are not used in the calculation process for finding the analytical solution of the prob- lem. But the property of the ...
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Asymptotic Solutions of Coupled Spring Systems with Cubic Nonlinearity using Homotopy Perturbation Method
... the homotopy perturbation method (HPM) to obtain analytical approximate solutions of the nonlinear differential equations which model a coupled spring system with and without damping and external driving ...
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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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Analysis of the new homotopy perturbation method for linear and nonlinear problems
... where a, b, g and f are continuous functions in some region of the plane and g() = . By solving this boundary value problem by the homotopy perturbation method, we obtain an approximate or exact solution ...
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Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems
... In this paper, we solve the moving boundary and iso- perimetric problems by using Homotopy perturbation method. Embedding parameter p 0,1 can be taken into account as a perturbation parameter. ...
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On the Exact Solution of Burgers Huxley Equation Using the Homotopy Perturbation Method
... The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear diffe- rential equations. Three case study problems of Burgers-Huxley are solved using the HPM and the exact solutions ...
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An improvement to the homotopy perturbation method for solving integro-differential equations
... modified homotopy perturbation meth- ...improved homotopy perturbation method for solv- ing Fredholm type integro-differential ...modified homotopy perturbation method (MHPM) to ...
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Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation
... [34] A. Zakeri, A. Aminataei and Q. Jannati, “Application of He’s Homotopy Perturbation Method for Cauchy Prob- lem of III-Posed Nonlinear Diffusion Equation,” Discrete Dynamics in Nature and Society, Vol. ...
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On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
... 𝐻(𝑢, 0) = 𝐹(𝑢) = 0, and when 𝑝 is equal to 1, then 𝐻(𝑢, 1) = 𝐸(𝑢) = 0. It is worth noting that as the embedding parameter 𝑝 increases monotonically from zero to unity the zero order solution 𝑣 0 continuously deforms into ...
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Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method
... [10] T. Ozis, and A. Yildirim, “A comparative study of He’s Homotopy perturbation method for determining frequency- amplitude relation of a non-linear oscillator with discontinuities”, Int. J. Nonlinear ...
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Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
... ing Homotopy perturbation ...a perturbation parameter. Full advantage of the traditional perturbation techniques can be taken by the novel ...
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Modified homotopy perturbation method for solving non-linear oscillator's equations
... Zahra Azimzadeh is Assistant Pro- fessor of Mathematics at Islamic Azad University of Yadegar-e- Imam Khomeini (RAH) Shahr-e- Rey Branch. She received the PhD degree in Mathematics Science at Islamic Azad University of ...
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Multi-stage Homotopy-perturbation Method for the Fractional Order Chen System
... multistage homotopy perturbation method is extended to solve the Chen fractional order ...multistage homotopy perturbation method is only a simple modification of the standard homotopy ...
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Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
... The Riccati equation plays a great role in blueprint and analysis the linear and nonlinear optimal control problems. Numerical Solution of this equation has been acquired by applying Adomian’s decomposition method [1], ...
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Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations
... The fundamental objective of this paper is to demonstrate the applicability of the mixture of Laplace transform and homotopy perturbation method to solve homogeneous and nonhomogeneous nonlinear partial ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... the homotopy perturbation Sumudu transform method (HPSTM) to derive the exact solution of various types, which is a combination of the homotopy perturbation method and the Sumudu transform ...
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