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modified adomian decomposition

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

... How to cite this paper: Al-Shareef, A., Al Qarni, A.A., Al-Mohalbadi, S. and Bakodah, H.O. (2016) Soliton Solutions and Numeri- cal Treatment of the Nonlinear Schrodin- ger’s Equation Using Modified Adomian ...

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Non Darcy Mixed Convection between Differentially Heated Vertical Walls Filled with a Porous Material: Application of New Modified Adomian Decomposition Method

Non Darcy Mixed Convection between Differentially Heated Vertical Walls Filled with a Porous Material: Application of New Modified Adomian Decomposition Method

... new modified Adomian decomposition method given by Wazwaz and El-Sayed [17] in terms of the physical parameters appearing in the governing ...

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Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems

Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems

... and modified Adomian decomposition method are applied to obtain the solution of higher order boundary value ...of Adomian polynomials is its main advantage over modified Adomian ...

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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

... the modified Adomian decomposition method (ADM) to obtain exact solution to Nonlinear Klein-Gordon equation (NK-GE) with quadratic ...of modified ADM for a generalized three-dimensional ...The ...

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SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD

SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD

... In this paper, linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic assumptions experienced with other methods and ...

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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

... Duan-Rach-Wazwaz modified Adomian decomposition method for solving nonlinear IVPs of the first order nonlinear ODEs and two, three, four and seven dimensional systems of nonlinear ...the ...

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The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations

The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations

... by Adomian [13] as the first condition of demonstrating a fast convergence of the ...[16] modified the Adomian decomposition method by dividing the initial approximation into two parts, and ...

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Modelling of Immobilized Glucoamylase Kinetics by Flow Calorimetry

Modelling of Immobilized Glucoamylase Kinetics by Flow Calorimetry

... The modified adomian decomposition method is an extremely simple method to solve the nonlinear differential ...the adomian decomposition method to the solution of various scientific ...

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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

... the Adomian decomposition ...the Adomian method for differential and operator ...the Adomian method in [16]. Zhang [17] presented a modified Adomian decomposition me- thod ...

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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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A comparison of numerical methods for solving the bratu and bratu type problems

A comparison of numerical methods for solving the bratu and bratu type problems

... Keywords: Bratu problem, Bratu-Type problems, standard Adomian decomposition method, modified Adomian decomposition method, shooting method, finite difference method.... rvIasalah Jenis-[r] ...

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New iterative methods with seventh-order convergence for solving nonlinear equations

New iterative methods with seventh-order convergence for solving nonlinear equations

... by modified Adomian decomposition method [2], iterative method improving Newton’s method by the decomposition method [3], new family of Iterative methods for nonlinear equations [4], iterative ...

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Approximate analytical solution of non linear  reaction diffusion equation in fluidized bed biofilm reactor

Approximate analytical solution of non linear reaction diffusion equation in fluidized bed biofilm reactor

... The decomposition method is simple and easy to use and produces reliable results with few itera- tion ...of Modified Adomian decomposition method is higher than standard Adomian ...

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Theoretical and Numerical analysis of immobilised α-chymotrypsin under kinetic control

Theoretical and Numerical analysis of immobilised α-chymotrypsin under kinetic control

... In this work, we obtained analytical expressions of concentration of acyl donor and nucleophile for all possible values of dimensionless parameters. The closed analytical expressions of concentrations are obtained using ...

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On the Solutions of a Linear Fractional Differential Equation

On the Solutions of a Linear Fractional Differential Equation

... Abstract: In this paper, a Modified Adomian Decomposition method (MADM) was introduced and applied to a reduced Fractional differential equation. The fractional derivative is considered in the Caputo ...

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Mathematical Analysis of Diffusion and Kinetics of Immobilized Enzyme Systems that Follow the Michaelis – Menten Mechanism

Mathematical Analysis of Diffusion and Kinetics of Immobilized Enzyme Systems that Follow the Michaelis – Menten Mechanism

... Abstract: In this paper, mathematical models of immobilized enzyme system that follow the Michaelis-Menten mechanism for both reversible and irreversible reactions are discussed. This model is based on the diffusion ...

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Numerical KDV Equation by the Adomian Decomposition Method

Numerical KDV Equation by the Adomian Decomposition Method

... the Adomian decomposition method (ADM), we present in this paper a numerical approximation of the solution of the nonlinear KDV ...the Adomian polynomials for this type of equation and thereafter ...

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SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD

SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD

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

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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

... The paper is organized as follows: In Section 2, the modified Laplace Adomian decomposition method is presented and discussed for Volterra integral equations. Section 3 summarizes the application of ...

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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 equations with ...

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