[PDF] Top 20 The Adomian decomposition method for numerical solution of first-order differential equations
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The Adomian decomposition method for numerical solution of first-order differential equations
... The Adomian decomposition method (ADM) was firstly introduced by George Adomian in 1981 and developed in ...This method has been applied to solve differential and integral ... See full document
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The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi Pantograph Delay Differential Equations
... The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi-Pantograph Delay Differential Equations Musa Cakir, Derya Arslan Department of Math[r] ... See full document
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Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document
10
Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems
... the numerical solution of higher order boundary value problems using Homotopy perturbation method (HPM) and modified Adomian decomposition method ...of Adomian ... See full document
5
Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain ... See full document
10
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] ...stochastic differential equations with approximates which converge ... See full document
8
The Study for Transient Neutron Transport with Pomrning-Eddington Approximation
... two first order differential equations. The Adomian decomposition method that used to solve the linear or nonlinear differential equations is use d to solve ... See full document
8
Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method
... acceptable method to solve ...the numerical solution of some liner fractional differential equation with initial fuzzy value using ...obtained solution are expressed in form of Mittag- ... See full document
10
Approximate Solutions for Mathematical Model of Carcinogenesis Using Adomian Decomposition Method
... the Adomian decomposition method (ADM) is applied to obtain the approximate solution of a mathematical model of carcinogenesis which is a Riccati differential equation derived by ... See full document
6
On the comparison between Picard Iteration Method and Adomian Decomposition Method in solving non linear differential equations
... Many differential equations cannot be solved by standard methods, in such equations, it is sufficient to obtain an approximation ...approximation method used for solving differential ... See full document
12
Study on efficiency of the Adomian decomposition method for stochastic differential equations
... The rest of the paper is organized as follows: In next section, we implement the stochastic Adomian decomposition method (SADM) for the problem (1.1). In Section 3, we show convergence of the SADM ... See full document
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A Numerical Solution of First order Simultaneous Fuzzy Differential Equations by Sixth Order Runge Kutta Method
... sixth order Runge-Kutta method and defined to solve the first order simultaneous fuzzy differential equation with initial value ...proposed method is illustrated and solved the ... See full document
10
A. One Dimensional Differential Transform Method
... Many numerical methods were developed for this type of nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [5-9], the EXP function ... See full document
5
Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method
... iteration method (VIM) developed in 1999 by He in [9-18] will be used to study the linear wave equation, nonlinear wave equation, and wave-like equation in bounded and unbounded ...The method has been ... See full document
9
Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations
... several numerical me- thods such as the Galerkin methods [1], Runge-Kutta methods [2], Chebyshev collocation method [3], Taylor collection method [4], rationalized Haar func- tions method [5], ... See full document
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Solving nth Order Integro Differential Equations Using the Combined Laplace Transform Adomian Decomposition Method
... gro-differential equations is illustrated in the three exam- ples given ...present method to our problem (2.1) compared with the exact solution, the maximum error is defined as: ... See full document
5
A new numerical integrator for the solution of stiff first order ordinary differential equations
... the method that gives better stability condition, scholars proposed an approximate solution which combined power series polynomial and exponential function ...this method gives an A-stable ... See full document
10
Application of Laplace Adomian Padé approximant to solve exponential stretching sheet problem in fluid mechanics and
... The Adomian Decomposition Method has been applied to a wide class of problems in physics, biology and chemical ...The method provides the solution in a rapid convergent series with ... See full document
7
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 order of the convergence of the Adomian method in ...modified Adomian ... See full document
13
Modified Adomain Decomposition Method for the Generalized Fifth Order KdV Equations
... the solution of generalized fifth order KdV equa- tions by using modified decomposition ...exact solution of which is to be obtained subject to initial ... See full document
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