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[PDF] Top 20 Comments on the Adomian Decomposition Methods Applied to the KdV Equation

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Comments on the Adomian Decomposition Methods Applied to the KdV Equation

Comments on the Adomian Decomposition Methods Applied to the KdV Equation

... Multistage Adomian decomposition method have a more important positive discrepancy at the beginning (in comparison with the Adomian decomposition method), but it becomes negative for the rest ... See full document

6

CONVERGENCE OF ADOMIAN METHOD FOR SOLVING KDV– BURGER EQUATION.

CONVERGENCE OF ADOMIAN METHOD FOR SOLVING KDV– BURGER EQUATION.

... of Adomian decomposition method (ADM) when applied to KdV–Burgers equation is ...dissipative KdV– Burgers equation are ... See full document

6

Convergence of iterative methods applied to Burgers-Huxley equation

Convergence of iterative methods applied to Burgers-Huxley equation

... Burgers-Huxley equation is solved by using variety of methods: the Ado- mian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified ... See full document

20

Adomian Decomposition Approach to the Solution of the Burger’s Equation

Adomian Decomposition Approach to the Solution of the Burger’s Equation

... Burger’s equation is a fundamental partial differential equation in fluid ...of applied mathematics such as heat conduction, acoustic waves, gas dy- namics and traffic flow ...numerical ... See full document

7

Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations

Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations

... of Adomian decomposition method to the initial value problem in ordinary differential equation and compare the results of an original ADM to those with the modifi- ...two-step methods are ... See full document

7

Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method

Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method

... powerful methods have been used to investigate this class of partial differential equa- tion ...and applied it to obtain exact solution to coupled Klein-Gordon-Zakharov e- ...Other methods that gives ... See full document

10

Adomian decomposition method and application on solving nonlinear partial differential equations and nonlinear system partial equation

Adomian decomposition method and application on solving nonlinear partial differential equations and nonlinear system partial equation

... numerical methods and developing these methods ( AL- Safi,2007; Leveque, 2006; Rossler, Husner,1997; Wescot, ...numerical methods, which are commonly used for solving this kind of equations large ... See full document

9

Soliton Solutions and Numerical Treatment of the Nonlinear Schrodinger’s Equation Using Modified Adomian Decomposition Method

Soliton Solutions and Numerical Treatment of the Nonlinear Schrodinger’s Equation Using Modified Adomian Decomposition Method

... NLS equation plays an impor- tant role in the modeling of several physical phenomena such as the propagation of optical pulses, waves in fluids and plasma, self-focusing effects in lasers, and trapping of atomic ... See full document

18

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

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

... paper, Adomian decomposition method (ADM) is implemented to approximate the solution of the Korteweg-de Vries (KdV) equations of se- venth order, which are Kaup-Kuperschmidt equation and ... See full document

8

Approximate Solutions for Mathematical Model of Carcinogenesis Using Adomian Decomposition Method

Approximate Solutions for Mathematical Model of Carcinogenesis Using Adomian Decomposition Method

... the Adomian decomposition method (ADM) is applied to obtain the approximate solution of a mathematical model of carcinogenesis which is a Riccati differential equation derived by Moolgavkar ... See full document

6

Solution of a Nonlinear Delay Differential Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomial

Solution of a Nonlinear Delay Differential Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomial

... The Adomian decomposition method has been shown [8] [9] [10] to solve effectively, easily, and accurately a large class of linear, nonlinear, ordinary and partial differential equations with approximate ... See full document

13

An Analytical Treatment to Fractional Gas Dynamics Equation

An Analytical Treatment to Fractional Gas Dynamics Equation

... and Adomian decomposition method (STADM) are successfully applied for solving nonlinear time-fractional gas dynamics ...two methods. Therefore, these two methods are very powerful and ... See full document

7

SOLUTION OF REACTION–DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD

SOLUTION OF REACTION–DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD

... Adomian decomposition method (ADM) has been applied to solve many differential ...paper, Adomian decomposition method (ADM) is employed to solve the linear and nonlinear reaction ... See full document

5

Solving multi-order fractional differential equations by reproducing kernel Hilbert space method

Solving multi-order fractional differential equations by reproducing kernel Hilbert space method

... of methods have been proposed and applied success- fully to approximate fractional differential equations, such as Adomian decomposition method [17], variational iteration method [18], homotopy ... See full document

21

The Comparative Study on (3+1)-dimensional Equal Width Wave Equation with Diffusion by HPM ,ADM and DTM

The Comparative Study on (3+1)-dimensional Equal Width Wave Equation with Diffusion by HPM ,ADM and DTM

... and adomian decomposition method have been successfully applied for solving the (3+1)-dimensional Equal Width Wave equation with diffusivity ...these methods are an infinite power series ... See full document

10

The Adomian Decomposition Method of Volterra Integral Equation of Second Kind

The Adomian Decomposition Method of Volterra Integral Equation of Second Kind

... integral equation of the first kind to a linear equation of the second kind and the ordinary differential equation to integral equation we are going to solve the equation ...The ... See full document

7

Vol 2, No 11 (2011)

Vol 2, No 11 (2011)

... [12] Sweilam. N. H, Khader. M. M, and Al-Bar. R. F, Homotopy perturbation method for multidimensional nonlinear coupled system of parabolic and hyperbolic equations, Topol. Methods Nonlinear Anal. 31 (2008), pp. ... See full document

6

Solving fractional diffusion equation using variational iteration method and adomian decomposition method

Solving fractional diffusion equation using variational iteration method and adomian decomposition method

... the methods of variational iteration and Adomian decomposition ...The methods are used to solve fractional diffusion ...general equation of fractional diffusion equation is ... See full document

19

Optical soliton perturbation of Fokas-Lenells equation by the Laplace-Adomian decomposition algorithm

Optical soliton perturbation of Fokas-Lenells equation by the Laplace-Adomian decomposition algorithm

... This equation was first studied in [17–24] and arises in various systems such as water waves, plasma physics, solid state physics and nonlinear optics. In Eq. (1), u(x, t) repre- sents a complex field envelope, ... See full document

9

The Solution of Advection Diffusion Equation by The Finite Elements Method

The Solution of Advection Diffusion Equation by The Finite Elements Method

... diffusion equation (ADE) by Galerkin method (GM), Adomian decomposition method (ADM) and Homotopy perturbation method (HPM); and then, we have formed a table that contains numerical results for this ... See full document

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