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Adomian Decomposition Method (ADM)
2019The 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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Far East Journal of Mathematical Sciences (FJMS)
In this paper, we investigate a nonlinear oscillator with coordinate-dependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM).
BAGAYOGO Moussa +3 more
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In this paper, we investigate a nonlinear oscillator with coordinate-dependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM).
BAGAYOGO Moussa +3 more
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2020
Someengineering applications cover beam members such as bridges, train rails,aircraft wings. They can be modelled in terms of the beam. Once, the beam modelis defined, then its governing equations are obtained to do dynamic analysis.These equations are complicated in general. Many solution techniques can beadopted to solve these equations. One of these
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Someengineering applications cover beam members such as bridges, train rails,aircraft wings. They can be modelled in terms of the beam. Once, the beam modelis defined, then its governing equations are obtained to do dynamic analysis.These equations are complicated in general. Many solution techniques can beadopted to solve these equations. One of these
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Science Forum (Journal of Pure and Applied Sciences), 2019
Nibron Manjak, OKAI O, ENOCH SULEIMAN
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Nibron Manjak, OKAI O, ENOCH SULEIMAN
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Recent Development of Adomian Decomposition Method for Ordinary and Partial Differential Equations
International Journal of Applied and Computational Mathematics, 2022Mukesh Kumar
exaly
Series Solution Of A Three Species Food Chain Model Using Adomian Decomposition Method(ADM)
Journal of Applied Nonlinear DynamicsProdip Roy +4 more
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Mathematical studies of the solution of Burgers' equations by Adomian decomposition method
Mathematical Methods in the Applied Sciences, 2020Dia Zeidan, Chi Kin Chau, Tzon-Tzer Lu
exaly
Improved Adomian decomposition method
Computers and Mathematics With Applications, 2010Tamer Abassy
exaly