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Adomian decomposition method with Chebyshev polynomials

Applied Mathematics and Computation, 2006
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Adomian's Decomposition Method

2017
In this chapter, we apply Adomian's Decomposition Method to find appropriate solutions of heat and mass transfer in the two-dimensional and axisymmetric unsteady flow between parallel plates and squeezing flow and heat transfer between two parallel disks with velocity slip, temperature jump which are of utmost importance in applied and engineering ...
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Adomian Decomposition Method (ADM)

2019
The Adomian decomposition method (ADM) is a method for the solution of both linear and nonlinear differential equations and BVPs seen in different fields of science and engineering. However, the implementation of this method mainly depends upon the calculation of Adomian polynomials for nonlinear operators.
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A two-step Adomian decomposition method

Applied Mathematics and Computation, 2005
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On the convergence of Adomian decomposition method

Applied Mathematics and Computation, 2006
The paper is concerned with a method for the computation of the rate of convergence of solutions obtained by Adomian's decomposition method (ADM) and a modified version of ADM. The basic idea is to compare the ratios of successive terms in the series obtained using ADM and to use this information to derive insight into the convergence rate of the ...
Hosseini, M. M., Nasabzadeh, H.
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Stefan problem solved by Adomian decomposition method

International Journal of Computer Mathematics, 2005
The solution of the one-phase Stefan problem is presented. This problem consists of finding the distribution of temperature in the domain and the position of the moving interface (freezing front). The proposed solution is based on the Adomian decomposition method and optimalization.
Radosław Grzymkowski, Damian Słota
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Solution of nonlinear equations by modified adomian decomposition method

Applied Mathematics and Computation, 2002
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Babolian, E., Biazar, J.
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Parametrized Adomian Decomposition Method with Optimum Convergence

ACM Transactions on Modeling and Computer Simulation, 2017
The classical Adomian decomposition method frequently used to solve linear and nonlinear algebraic or integro-differential equations of ordinary and partial type is revisited. Rewriting the technique in an elegant form, a parameter so-called as the convergence control parameter, is embedded into the method to control the convergence and the rate of ...
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Remark on modifications of Adomian decomposition method

Applied Mathematics and Computation, 2008
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Adomian Decomposition Method

2022
Kehui Sun, Shaobo He, Huihai Wang
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