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Solving the Equations Using Adomian Decomposition Method

Solving Nonlinear Differential Equations Using Adomian Decomposition Method Through Sagemath

Solving Nonlinear Differential Equations Using Adomian Decomposition Method Through Sagemath

... Adomian decomposition method have been used to solve nonlinear ordinary and partial differential equations and integral equations arise in Physics, Biology and various fields of ...

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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 ...

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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

... 1980’s, Adomian [4-7] proposed a new and fruitful method (so-called the Adomian decom- position method) for solving linear and nonlinear (alge- braic, differential, partial ...

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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

... differential equations cannot be solved by standard methods, in such equations, it is sufficient to obtain an approximation ...approximation method used for solving differential ...

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Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations

Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations

... the Adomian Decomposition Method [1, 2] has been applied to obtain a formal solution to a wide class of both deterministic and stochastic Partial Differential ...this Method has emerged as an ...

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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

... transform Adomian decomposition method for solving nonlinear Volterra integral and integro-differential ...Laplace Adomian decomposition method because of the terms ...

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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

... DOI: 10.4236/jamp.2019.76093 1406 Journal of Applied Mathematics and Physics [10] Bakodah, H.O. (2012) A Comparison Study between a Chebyshev Collocation Me- thod and the Adomian Decomposition Method ...

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Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind

Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind

... best method between Chebyshev polynomials and Adomian decomposition method in solving nonlinear Volterra integral equations of second ...performed using mathematical ...

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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

... paper, Adomian decomposition method is discussed and applied to solve the nonlinear partial differential equations and nonlinear system partial equation, a nonlinear partial differential ...

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Discrete adomian decomposition method for solving fredholm integral equations of the second kind

Discrete adomian decomposition method for solving fredholm integral equations of the second kind

... The research focus on the DADM to solve one and two dimensional linear and nonlinear FIE of the second kind. This study is limited to a comparison of the DADM with the Simpson’s rule and Trapezoidal rule. And MATHEMATICA ...

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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

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 ...

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Numerical application of Adomian decomposition method to fifth-order autonomous differential equations

Numerical application of Adomian decomposition method to fifth-order autonomous differential equations

... In this paper, we have successfully applied ADM to 5th order linear autonomous differential equations. The introduction consisted of real life areas were 5th differential equations are used as models. ...

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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, ...

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A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators

A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators

... integral equations of the second kind involving local fractional derivative operators are investigated by using the method of regularization with Adomian decomposition ...integral ...

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Solution of Nonlinear Integro Differential Equations by Two Step Adomian Decomposition Method (TSAM)

Solution of Nonlinear Integro Differential Equations by Two Step Adomian Decomposition Method (TSAM)

... position Method” does not always minimize the required size of calculations, and often needs more computation than the common Adomian ...“Two-Step Adomian Decomposition Method” (TSADM) ...

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Kamal transform integrated with Adomian decomposition method for solving predator prey systems

Kamal transform integrated with Adomian decomposition method for solving predator prey systems

... . Adomian decomposition method has been applied to a large class of linear and nonlinear equations that are et ...this method is the ability to solve these equations ...

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Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials

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 ...

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Decomposition method for solving system of linear equations

Decomposition method for solving system of linear equations

... Abstract. In this paper, we use Adomian decomposition method for suggesting an iterative methods for solving system of linear equations. We provide several numerical examples to verify ...

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Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations

Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations

... Gordon equations. Some of these methods for solving nonlinear differential equations are the: Exp function method [7], reduced differen- tial transform method [6], the Homotopy Analysis ...

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Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method

Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method

... the Adomian decomposition method (ADM) has been rapidly growing in recent ...by Adomian [1, 2]. In this method, the solution of functional equations is considered as the sum of ...

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