Adomian Decomposition
Comments on the Adomian Decomposition Methods Applied to the KdV Equation
... Therefore, the both approximated functions are reaching the exact solution, but not by the same manner. The positive evolution for the function F ∆ /ADM , lead for the next estimation processes of calculation of the ...
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Adomian Decomposition Method for Multiphase Miscible Flow the Porous Media
... The Adomian decomposition method which needs less computation was employed to solve many problems (Celik et ...the Adomian decomposition method to solve some models of nonlinear partial ...
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Study on efficiency of the Adomian decomposition method for stochastic differential equations
... The Adomian decomposition method has been known to be a powerful scheme for solving many functional equations. Here, we used a stochastic version of this method for solving some stochastic differential ...
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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 diffusion ...
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The Adomian Decomposition Method for a Type of Fractional Differential Equations
... Table 1 shows the error of the exact solution and the approximate solution. In this example, we only use the forst four terms to approximate the exact solution. From the error column we can find that the absolute error ...
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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 to ...
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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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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... George Adomian 1, 2, 3, 4 introduced a powerful method named as Adomian decomposition method (ADM) for solving linear and nonlinear functional ...equations. Adomian decomposition ...
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Hall Current Effects on Peristaltic Transport of A Conducting Bingham Fluid With Permeable Walls By Adomian Decomposition Method
... With the above discussion in mind, the purpose of the present investigation is to analyse the Hall current effects on peristaltic transport of a conducting Bingham fluid with permeable walls by Adomian ...
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Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method
... Abstract. In this paper, we used the modified Adomian decomposition method (ADM) to obtain exact solution to Nonlinear Klein-Gordon equation (NK-GE) with quadratic nonlinearity. The paper contains an ...
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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... In this work, we have applied Adomian Decomposition method with Taylor series and Chebyshev polynomials. On applying the method to the examples with inhomoheneous source terms we can conclude from Fig.1, ...
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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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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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Restarted Adomian Decomposition Method for Solving Volterra’s Population Model
... In this paper, we used an efficient algorithm to obtain an analytic approxima- tion for Volterra’s model for population growth of a species within a closed system, called the Restarted Adomian decomposition ...
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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 ...called Adomian polynomials which are initiated from the expansion of an analytic function into a power series function ...the ...
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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... the Adomian decomposition ...the Adomian decomposition method was proposed in ...modified decomposition method will facilitate the computational process and further accelerate the ...
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Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method
... modified Adomian decomposition me- thod for solving initial value problems for the systems of nonlinear ordinary differential equations ...modified Adomian decomposition method with those from ...
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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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Solving fractional diffusion equation using variational iteration method and adomian decomposition method
... This research will focus on the algorithm for the methods of variational iteration and Adomian decomposition method. The methods are used to solve fractional diffusion equation. The general equation of ...
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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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