perturbation and iteration method
APPLICATION OF THE HOMOTOPY PERTURBATION METHOD (HPM) AND VARIATIONAL ITERATION METHOD (VIM) TO GAS DYNAMIC EQUATION
... Perturbation method is based on assuming a small ...the perturbation methods, in most cases, are valid only for small values of the small ...the perturbation solutions are uniformly valid as ...
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Dhage Iteration Method for Nonlinear First Order Hybrid Differential Equations with a Linear Perturbation of Second Type
... Abstract. In this paper the authors prove algorithms for the existence and approximation of the solutions for an initial and a periodic boundary value problem of nonlinear first order ordinary hybrid differential ...
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Perturbation Iteration Method for Solving Mathematical Model of Glucose and Insulin in Diabetic Human during Physical Activity
... the 1960s, researches in the direction of solving mathematical models have been devel- oped to describe glucose-insulin dynamic systems [1] [13]. On one hand, some of those models are oriented towards analysis of the ...
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Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation
... We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the ...
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A Comparison Among Homotopy Perturbation Method And The Decomposition Method With The Variational Iteration Method For Dispersive Equation
... Exp-function method [1–2], Adomian decomposition method [3–7], variational iteration method [8–10] and Homotopy-perturbation method ...
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Improving the Accuracy of the Solutions of Riccati Equations
... this method, the time interval is divided into n equal subintervals and the method is applied once to each ...topy perturbation method [1], the iterated He’s homotopy perturbation ...
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A new numerical scheme for solving systems of integro-differential equations
... solution method [13], homotopy perturbation method [9, 10], Adomian decomposition method [2, 3, 16] and variational iteration method [1, 12, 15] have been used to solve the ...
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An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations
... Decompostion Method, the Perturbation Iteration Algorithm P IA is independent of Adomian ...Variational Iteration Method. Contrary to the Homotopy Perturbation Method, ...
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Numerical Solutions for the Time Dependent Emden Fowler Type Equations by B Spline Method
... homotopy-perturbation method (HPM) and the variational iteration method (VIM) [16] to obtain approximate analytical solutions of the time-dependent Emden-Fowler-type ...
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Non-Fourier heat conduction equation in a sphere; comparison of variational method and inverse Laplace transformation with exact solution
... variational iteration method [16], homotopy perturbation method [17] and variational formulation method [18] to the solution of parabolic and hyperbolic heat transfer ...this ...
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On the comparison between Picard Iteration Method and Adomian Decomposition Method in solving non linear differential equations
... The proof is concluded by checking that the non-linear function has a series solution which remains stable under perturbation i.e. , for very small. And also that the non-linear operator can be developed in series ...
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SOLVING LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS BY NEW PERTURBATION ITERATION TRANSFORM METHOD
... the Perturbation Iteration Method to resolve the Linear and Nonlinear Klein-Gordon ...this method is a resourceful combination of the Laplace Transformation and New Perturbation ...
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A Strong Method for Solving Systems of Integro Differential Equations
... wavelets method in the literature ...decomposition method (ADM) [4], He’s homo- topy perturbation method (HPM) [5,6], variational iteration method (VIM) [7], The Tau ...
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Combine aboodh transform and homotopy perturbation method for solving linear and nonlinear schrodinger equations
... decomposition method Hashim, Noorani, ...homotopy perturbation method Sweilam, Khader (2009), Jafari, Aminataei (2010), (2011), the differential transform method (2008),Homotopy ...
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A Comparative Study of Variational Iteration Method and He Laplace Method
... variational iteration method and He-Laplace method are used to solve the nonlinear ordinary and partial differential ...homotopy perturbation method is called He-Laplace ...variational ...
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6. Variational iteration method for exact solution of gas dynamic equation using He's polynomials
... variational iteration method, while the homotopy perturbation method is applied to deal with the nonlinear terms where He’s polynomials are ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... transform method [1], the frac- tional Green function method [2], the popular Laplace transform method [3] [4], the Sumudu transform method [5], the iteration method [4], the ...
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Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
... homotopy perturbation method is proposed to solve nonlinear Riccati differential ...Variational Iteration Method and the Homotopy Perturbation Method, this technique possesses a ...
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Solution of the fractional Zakharov-Kuznetsov equations by reduced dierential transform method
... homotopy perturbation method and the variational iteration method for linear fractional partial differential equa- tions, Computers and Mathematics with Applications, 54 (2007) ...
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Generalized Difference Formula for a Nonlinear Equation
... new iteration scheme is proposed to solve the roots of a nonlinear ...new iteration method seems to be of high convergence, the results are promising in that it requires more computation work and ...
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