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decomposition method

Applications of adomian decomposition method for wave equations

Applications of adomian decomposition method for wave equations

... We have applied the Adomian decomposition method for the solution of the wave equation with non-local boundary conditions. This algorithm is simple and easy to implement. The obtained results confirmed a ...

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Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method

Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method

... Adomian decomposition method has led to a number of modifications made by various researchers for different purposes such as to improve the accuracy, or increase the speed of convergence, or expand the ...

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Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind

Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind

... Recently, Adomian decomposition method and modified Adomian decomposition method were popular among the researchers who studied integral equations. From the findings this dissertation, it is ...

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Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method

Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method

... Adomian decomposition method (ADM) was first proposed by George Adomian in the 1980’s [4] [5] [6] ...This method is well-suited to physi- cal problems since it makes the unnecessary linearization, ...

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Decomposition method for solving system of linear equations

Decomposition method for solving system of linear equations

... Abstract. In this paper, we use Adomian decomposition method for suggesting an iterative methods for solving system of linear equations. We provide several numerical examples to verify the theoretical ...

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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

... the decomposition of a non-linear equations into solutions in a series of ...The method will be analysed and we will prove its ...Adomian Decomposition Method ...

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Numerical KDV Equation by the Adomian Decomposition Method

Numerical KDV Equation by the Adomian Decomposition Method

... Abstract: Using the Adomian decomposition method (ADM), we present in this paper a numerical approximation of the solution of the nonlinear KDV equation. The principal task concerns essentially the ...

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II. ADOMIAN DECOMPOSITION METHOD A. Operator form

II. ADOMIAN DECOMPOSITION METHOD A. Operator form

... [4] A. Cheniguel and A. Ayadi, Solving Heat Equation by the Adomian Decomposition Method, Proceeding of the World Congress on Engineering 2011 Vol I WCE 2011, July 6-8, 2011, London, UK. [5] A. Cheniguel, ...

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A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method

A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method

... In this paper, we present a comparative study between the modified Sumudu decomposition method (MSDM) and homotopy perturbation method (HPM). The study outlines the important features of the two ...

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SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD

SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD

... adomian decomposition method, Applied Mathematics and Computation, 219, ...Adomian decomposition method, Applied Mathematics and Computation, 218, ...

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Adomian Decomposition Method for Solving Goursat's Problems

Adomian Decomposition Method for Solving Goursat's Problems

... In this paper, Goursat’s problems for: linear and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions ...

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Kamal transform integrated with Adomian decomposition method for solving predator prey systems

Kamal transform integrated with Adomian decomposition method for solving predator prey systems

... and Decomposition Method (KTADM), which is integrated of transform and Decomposition Method for solving the approximate numerical solutions of Prey ...this method in solving these kind ...

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Fingering Phenomenon Arising in Double Phase Flow Through Porous Media By Using Adomain Decomposition Method Patel Anilkumar J. 1, Khatri Ronak G.2 , Dr. Bhathawala P. H. 3

Fingering Phenomenon Arising in Double Phase Flow Through Porous Media By Using Adomain Decomposition Method Patel Anilkumar J. 1, Khatri Ronak G.2 , Dr. Bhathawala P. H. 3

... Adomian decomposition method which needs less computation was employed to solve many problems (Celik et ...Adomian decomposition method to solve some models of nonlinear partial equation, this ...

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Path planning algorithm for a car like robot based on cell decomposition method

Path planning algorithm for a car like robot based on cell decomposition method

... cell decomposition methods, roadmap methods or artificial potential field ...cell decomposition method, a two dimensional workspace is basically divided into a finite number of ...roadmap ...

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A Crime Rate Forecast and Decomposition Method

A Crime Rate Forecast and Decomposition Method

... This paper provides a method for forecasting age-specific crime rate by age using singular value decomposition and time series modeling. Crime forecasting in its qualitative and quantitative aspects reveals ...

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THE CALCULATION OF MULTICOMPONENT ROD SYSTEMS BY DECOMPOSITION METHOD

THE CALCULATION OF MULTICOMPONENT ROD SYSTEMS BY DECOMPOSITION METHOD

... For decomposition of two- and three-dimensional rod systems the effective algorithm of dividing a system into blocks and the appropriate technique of coding for states of each from subsystems are ...

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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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Homotpy Analysis Method for Solving Fractional Differential Equations

Homotpy Analysis Method for Solving Fractional Differential Equations

... analysis method (HAM). While compared with the Adomain decomposition method (ADM) and the homotopy perturbation method (HPM), the HAM contains the auxiliary convergence-control parameter ℏ and ...

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Approximate Analytical Solutions Of The Fractional Nonlinear Dispersive Equations Using Homotopy Perturbation Sumudu Transform Method (Hpstm)

Approximate Analytical Solutions Of The Fractional Nonlinear Dispersive Equations Using Homotopy Perturbation Sumudu Transform Method (Hpstm)

... transformation method is one of the most important transform methods introduced in the early 1990s by Gamage ...transformation method such as the Homotopy analysis Sumudu transform Method (HASTM) ...

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Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method

Resolution of Nonlinear Convection - Diffusion - Reaction Equations of Cauchy Kind by the Laplace SBA Method

... SBA method based on combination of Laplace’s transform, Adomian Decomposition Method(ADM), Picard principle and successive approximations is used for solving these ...

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