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Adomian Decomposition Method (ADM)

Applications of adomian decomposition method for wave equations

Applications of adomian decomposition method for wave equations

... The Adomian decomposition method can handle any kind of linear or non-linear differential ...of ADM are compared with exact method which excellent ...earlier ADM have an easy ...

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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

... apply Adomian decomposition method (ADM) for solving some classes of nonlinear delay differential equations (NDDEs) with accelerated Adomian polynomial called El-kalla polynomial ...

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Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

... numerical method relatively new for solving fuzzy fractional differential equations using Adomian decomposition method (ADM) where the fractional derivative is assumed in terms ...

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Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth Order Parabolic Partial Differential Equation

Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth Order Parabolic Partial Differential Equation

... How to cite this paper: Boukary, B., Lou- fouilou-Mouyedo, J., Bonazebi-Yindoula, J. and Bissanga, G. (2018) Application of the Adomian Decomposition Method (ADM) for Solving the Singular ...

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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

... improved Adomian decomposition method (ADM) is applied to the nonlinear Schrödinger’s equation (NLSE), one of the most important partial dif- ferential equations in quantum mechanics that ...

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Study on efficiency of the Adomian decomposition method for stochastic differential equations

Study on efficiency of the Adomian decomposition method for stochastic differential equations

... suggested method by George Adomian, so-called Adomian decomposition method (ADM), has been developed for solving different kinds of equations in recent years [7, 8, 10, ...the ...

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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 ...

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The Adomian decomposition method for numerical solution of first-order differential equations

The Adomian decomposition method for numerical solution of first-order differential equations

... the Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact ...

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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 ...

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Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents

Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents

... the Adomian decomposition method (ADM) [1-4], the variational iteration method (VIM) [5–8], differential transform method (DTM) and multivariate padé approximaton (MPA) [9-15] ...

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Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel

Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel

... using Adomian Decomposition Method (ADM) together with Pade Approximation technique to determine the thermal stability of the fluid flow and important properties of temperature fields ...

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Online Full Text

Online Full Text

... inversion method and approximation is the only alternative ...series, Adomian decomposition method (ADM) and differential transform method (DTM) was used to find the solution of ...

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On the Solutions of First and Second Order Nonlinear Initial Value Problems

On the Solutions of First and Second Order Nonlinear Initial Value Problems

... the Adomian decomposition method (ADM) to solve nonlinear differential equations such as Duffing- Vanderpole equation, [3-5] solved nonlinear IVPs by the Laplace Adomian ...

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An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation

An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation

... the Adomian Decomposition Method (ADM) [5], the Homotopy Perturbation Method (HPM) [6] [7], the Homotopy Analysis Method (HAM) [8] and Berstein Operational Ma- trix of ...

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A Strong Method for Solving Systems of Integro Differential Equations

A Strong Method for Solving Systems of Integro Differential Equations

... wavelets method in the literature ...as, Adomian decomposition method (ADM) [4], He’s homo- topy perturbation method (HPM) [5,6], variational iteration method (VIM) [7], ...

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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

... The 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 ...

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APPROXIMATE ANALYTICAL SOLUTION OF SEEPAGE OF GROUND WATER IN SOIL

APPROXIMATE ANALYTICAL SOLUTION OF SEEPAGE OF GROUND WATER IN SOIL

... hybrid method which combines the Adomian decomposition method (ADM), the Laplace transform algorithm and the Pade approximant is introduced to solve the approximate analytical solution ...

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On numerical solutions of fuzzy differential equations

On numerical solutions of fuzzy differential equations

... analytic method for nonlinear problems ...Euler method, homotopy analysis method (HAM), and Adomian decomposition method (ADM) algorithms, and compare the numerical ...

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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 ...classical ADM while, the second is the modified ADM which is called the general iteration ...

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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)

... parameter method [1], Expansion method [2], Perturbation techniques [3-5] and Hirota bilinear attention to study the solutions of nonlinear partial differential equations by using various ...the ...

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