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Laplace Adomian Decomposition Method

Modification of Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton Raphson Formula

Modification of Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton Raphson Formula

... modified Laplace transform Adomian decomposition method for solving nonlinear Volterra integral and integro-differential ...standard Laplace Adomian decomposition ...

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Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations

Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations

... the Laplace Discrete Adomian Decomposition Method and its application for solving nonlinear integro-differential ...This method is based upon the Laplace Adomian ...

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Application of Laplace Adomian Padé approximant to solve exponential stretching sheet problem in fluid mechanics and

Application of Laplace Adomian Padé approximant to solve exponential stretching sheet problem in fluid mechanics and

... apply Laplace Adomian Decomposition Method (LADM) for obtaining the analytical and numerical solutions of a nonlinear differential equation that describes a magnetohydrodynamic (MHD) flow ...

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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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Comments on the Adomian Decomposition Methods Applied to the KdV Equation

Comments on the Adomian Decomposition Methods Applied to the KdV Equation

... multistage laplace adomian decomposition method with pade approximation to the rabinovich-fabrikant system", Advances in Applied Science ...

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Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel

Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel

... the Adomian decomposition method, as one of the well known technique and we note that the Adomian polynomials do not appear in this work because we handle linear ...the Laplace ...

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Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method

Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method

... by Adomian decomposition, homotopy perturbation, Variational iteration, Differential transform [4]-[12] and so ...on. Laplace Adomian Decomposition Method (LADM) proposed in [13] ...

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Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

... the decomposition method stood up as efficient, easy and accurate in solving a great group of linear and nonlinear ordinary, partial, deterministic or stochastic diffe- rential ...This method is ...

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Numerical Solutions of the Regularized Long Wave (RLW) Equation Using New Modification of Laplace Decomposition Method

Numerical Solutions of the Regularized Long Wave (RLW) Equation Using New Modification of Laplace Decomposition Method

... The RLW equation has been solved analytically only for restricted set of boundary and initial conditions. There- fore, the numerical solution of this equation has been the subject of many papers [4-7]. Recently a great ...

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Solving nth Order Integro Differential Equations Using the Combined Laplace Transform Adomian Decomposition Method

Solving nth Order Integro Differential Equations Using the Combined Laplace Transform Adomian Decomposition Method

... where represents the number of iterations. Moreover, we give a comparison among the CLT-ADM, Homotopy perturbation method (HPM) [1] and the varia- tional iteration method (VIM) [2]. The computations as- ...

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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

... the Laplace - SBA method. The Laplace -SBA [6, 10] method is a numerical method based on the combination of the Laplace transform, the successive approximation method, the ...

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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

... the Adomian decom- position method, combined with the Laplace transform requires less effort in comparison with the traditional Adomian decomposition ...This method consider- ...

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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

... Matrix method obtained from the Telegraph equations that de- scribes wave propagation in electric signal in cable transmission and Klein-Gordon ...meshless method. [10] applied the meshless method of ...

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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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The Adomian Decomposition Method for a Type of Fractional Differential Equations

The Adomian Decomposition Method for a Type of Fractional Differential Equations

... fact, we just need to compute the first finite terms. Cherruault et al. have proved the convergence of Adomian decomposition method [17] [18]. From some nu- merical tests of the following part, we ...

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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 ...

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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

... approximation method used for solving differential equations, are the Picard iteration method and the Adomian decomposition ...iteration method named after a French mathematician ...

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II. ADOMIAN DECOMPOSITION METHOD A. Operator form

II. ADOMIAN DECOMPOSITION METHOD A. Operator form

... the decomposition method for solving a three-dimensional diffusion equation with non local ...The decomposition method can also be applied to a large class of system of partial differential ...

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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 ...

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SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD

SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD

... The Adomian Decomposition Method (ADM) is a method which is used in several areas of ...Adomian’s decomposition method to solve a wide variety of linear and nonlinear prob- ...

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