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Iteration Method

Parametric Iteration Method for Solving Linear Optimal Control Problems

Parametric Iteration Method for Solving Linear Optimal Control Problems

... approximation method for solving linear and nonlinear problems and at beginning it was proposed for solving nonlinear fractional differential equations [6], by modifying He’s variational iteration ...

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USING ASYMPTOTIC ITERATION METHOD (AIM) FOR SOLVING DIFFERENTIAL EQUATIONS: CASE STUDY OF VIBRATIONAL STATES OF DIATOMIC MOLECULE

USING ASYMPTOTIC ITERATION METHOD (AIM) FOR SOLVING DIFFERENTIAL EQUATIONS: CASE STUDY OF VIBRATIONAL STATES OF DIATOMIC MOLECULE

... Abhijit, Sadhanta. (2017): Solution of certain potential problems by the Asymptotic Iteration Method and Verification of the results by Matlab code. IOSR Journal of Applied Physics, 2278-4861. Volume 9, ...

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The new modified Ishikawa iteration method for the approximate solution of different types of differential equations

The new modified Ishikawa iteration method for the approximate solution of different types of differential equations

... Ishikawa iteration method in solving linear and nonlinear differential equations and justify the accuracy and efficiency of the method presented in this paper, we consider the following ...of ...

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Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method

Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method

... variational iteration method and deform it to fixed point iteration ...mentioned method in Section 3 is used to seek an approximate solution of chemical ...

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On the convergence of an iteration method for continuous mappings on an arbitrary interval

On the convergence of an iteration method for continuous mappings on an arbitrary interval

... The purpose of this article is to give a necessary and sufficient condition for the strong convergence of the iteration method (.) of continuous mappings on an arbitrary interval. Our results extend and ...

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An Iteration Method using Elliptical Arc Artificial Boundary for Exterior Problems

An Iteration Method using Elliptical Arc Artificial Boundary for Exterior Problems

... The rest of the paper is organized as follows. In Section 2, we introduce two elliptical arc artificial boundaries which divide the original domain Ω into two subdomains, then we construct an iteration ...

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A Comparative Study of Variational Iteration Method and He Laplace Method

A Comparative Study of Variational Iteration Method and He Laplace Method

... -expansion method [4] and Hirota bilinear method ...decomposition method (ADM) [7], He’s Semi- inverse method [8], the tanh method, homotopy perturba- tion method(HPM), Sinh-Cosh ...

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6. Variational iteration method for  exact solution of
gas dynamic equation using He's polynomials

6. Variational iteration method for exact solution of gas dynamic equation using He's polynomials

... L[u(x, t)] + N [u(x, t)] = g(x, t), (2.1) where L is a linear operator, N a nonlinear operator and g(x, t) is the source inho- mogeneous term. According to the variational iteration method, we can construct ...

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A Fast Iteration Method for Mixture Regression Problem

A Fast Iteration Method for Mixture Regression Problem

... Fast Iteration Method for solving mixture regression problem, which can be treated as a model-based ...proposed method is faster, more flexible and can solve mixture regression problem with different ...

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The variational iteration method for solving Nagumo telegraph equation

The variational iteration method for solving Nagumo telegraph equation

... He, Variational iteration method for delay dierential equations, Commun. Siene and Nume[r] ...

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An Iteration Method for Nonexpansive Mappings in Hilbert Spaces

An Iteration Method for Nonexpansive Mappings in Hilbert Spaces

... Mann iteration method, Ishikawa iteration method, and many other iteration methods such as, viscosity approximation method [6] and CQ method ...

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A Comparison Among Homotopy Perturbation Method And The Decomposition Method With The Variational Iteration Method For Dispersive Equation

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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On the comparison between Picard Iteration Method and Adomian Decomposition Method in solving non linear differential equations

On the comparison between Picard Iteration Method and Adomian Decomposition Method in solving non linear differential equations

... series methods for solving non-linear differential equations is examined. The study is to give a comparison between Picard’s iteration method and Adomian decomposition method in solving non-linear ...

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SOLUTION OF A DETERMINISTIC MATHEMATICAL MODEL OF TYPHOID FEVER BY VARIATIONAL ITERATION METHOD

SOLUTION OF A DETERMINISTIC MATHEMATICAL MODEL OF TYPHOID FEVER BY VARIATIONAL ITERATION METHOD

... Variational Iteration Method (VIM) to solve typhoid fever model for a given constant ...Variational Iteration Method ...the method we compare the solutions obtained by VIM and ...

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Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives

Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives

... a method to achieve the exact solution of special type of nonlinear partial differential equations (NLPDEs) involving mixed partial ...proposed method named as Laplace substitution - Variation ...

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A selected method for the optimal parameters of the AOR iteration

A selected method for the optimal parameters of the AOR iteration

... may greatly decrease the computing efficiency of the AOR iteration method from Theo- rem .. Hence, the formulas for the optimal parameters in Theorem . are only of the- oretical meaning and far away from ...

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Generalized Difference Formula for a Nonlinear Equation

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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A comparative study on the convergence rate of some iteration methods involving contractive mappings

A comparative study on the convergence rate of some iteration methods involving contractive mappings

... As we know, we can consider four cases for writing the Ishikawa iteration method. In the next result, we indicate each case by different enumeration. Similar to the last result, we want to compare the ...

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The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous φ strongly accretive operators in uniformly smooth Banach spaces

The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous φ strongly accretive operators in uniformly smooth Banach spaces

... Mann iteration method and the Ishikawa iteration method with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach ...Mann iteration method and the ...

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Homotopy Analysis Sumudu Transform Method
 for Nonlinear Equations

Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

... analysis method (HAM) [6,7,12,23,25,26,27,28,29,33], vari- ational iteration method (VIM) [6,7,15,16,17,19], Laplace decomposition method (LDM) [20,24,37,41], homotopy perturbation transform ...

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