[PDF] Top 20 II. ADOMIAN DECOMPOSITION METHOD A. Operator form
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II. ADOMIAN DECOMPOSITION METHOD A. Operator form
... using decomposition method. This method is reliable and gives a solution in a series form with high ...the decomposition method is efficient and yields a solution in a closed ... See full document
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Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method
... DOI: 10.4236/ijmnta.2019.81002 18 Int. J. Modern Nonlinear Theory and Application proximate solutions to both linear and nonlinear problems without unphysical restrictive assumptions such as required by linearization, ... See full document
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The Adomian Decomposition Method for a Type of Fractional Differential Equations
... DOI: 10.4236/jamp.2019.710166 2460 Journal of Applied Mathematics and Physics Fractional calculus is found to be more suitable modeling the process with long range interaction and physical problems described by ... See full document
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Homotpy Analysis Method for Solving Fractional Differential Equations
... expansion method that is not directly dependent on small or large physical ...unified method for the Lyapunov artificial small parameter method, the delta expansion method, the Adomian ... See full document
5
Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method
... is the laplacian of u. Equation (1) and the given initial values is a generalised three-dimensional case of NK-GE. The nonlinear term g(u) could be a polynomial function in u or any other function. In application, the ... See full document
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Multistage Telescoping Decomposition Method for Solving Fractional Differential Equations
... telescoping decomposition method was first applied in ...numerical method based on the Taylor series expansion which constructs an analytical solution in the form of a ...this method, ... See full document
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Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method
... perturbation method [3], the Adomian decomposition method [4], but each method limits to a special class of integro-differential ...iteration method for solving some ... See full document
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SOLUTIONS OF COMPLEX EQUATIONS WITH ADOMIAN DECOMPOSITION METHOD
... 1.2. Adomian Decomposion ...differential operator involving both the linear and nonlinear ...differential operator and R is the remainder of the linear ... See full document
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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 ... See full document
12
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 ... See full document
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Applications of adomian decomposition method for wave equations
... where v is the phase velocity of the wave and y represents the variable which is changing as the wave passes. This is the form of the wave equation which applies to a stretched string or a plane electromagnetic ... See full document
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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... the Adomian decomposition method converts the Volterra integral equation into a determin- -ation of computable ...the decomposition series was thoroughly investigated by many researchers to ... 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 Adomian method in [16]. Zhang [17] presented a modified Adomian ... See full document
13
Convergence of iterative methods applied to Burgers-Huxley equation
... mian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, ... See full document
20
A practical review of the Adomian decomposition method: computer implementation aspects
... the form of a series by using the components of the solution ...the Adomian polynomials. The so-called Adomian polynomials are used to deduce the recursive relation during the implementation of the ... See full document
16
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 ...this method for solving some stochastic differential ... See full document
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APPROXIMATE ANALYTICAL SOLUTION OF SEEPAGE OF GROUND WATER IN SOIL
... Laplace decomposition algorithm to solve a class of nonlinear differential equations Yusufoglu solved the Duffing equation by Laplace decomposition ...efficient method, but somehow has a drawback ... See full document
16
Hall Current Effects on Peristaltic Transport of A Conducting Bingham Fluid With Permeable Walls By Adomian Decomposition Method
... This paper has presented the mathematical model that describes Hall current effects on peristaltic transport of a conducting Bingham fluid with permeable walls by Adomian decomposition method. The ... See full document
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An Analytical Treatment to Fractional Gas Dynamics Equation
... iterative method (NIM) is applied to solve nonlinear fractional gas dynamics ...and Adomian decomposion (STADM) is used to get an approximate solution of the same ...efficient method for finding ... See full document
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Vol 2014
... [1] Erwin Kreyszig, Introductory Functional Analysis with Applications, John Wi- ley & Sons. Inc. New York, Santa Barbara, London, Sydney, Toronto: (1978). [2] M. A. Noor, K. I. Noor and M. Waseem, ... See full document
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