Results 11 to 20 of about 541 (198)
A New Algorithm to determine Adomian Polynomials for nonlinear polynomial functions
SSRN Electronic Journal, 2023 We present a new algorithm by which the Adomian polynomials can be determined for scalar-valued nonlinear polynomial functional in a Hilbert space.
Bairagi, Mithun
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Generalization of adomian polynomials to functions of several variables
Computers & Mathematics with Applications, 1992 The solution of nonlinear differential and partial differential equations by the decomposition method due to Adomian [1–3] requires his An polynomials to represent nonlinearities.
Adomian, G., Rach, R.
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Correlation between Adomian and partial exponential Bell polynomials [PDF]
Comptes Rendus. Mathématique, 2017 We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the n-th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial exponential
Kuldeep Kumar Kataria +5 more
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SIMPLE PARAMETRIZATION METHODS FOR GENERATING ADOMIAN POLYNOMIALS
Applicable Analysis and Discrete Mathematics, 2016 In this paper, we discuss two simple parametrization methods for calculating Adomian polynomials for several nonlinear operators, which utilize the orthogonality of functions e(inx), where n is an integer. Some important properties of Adomian polynomials
P. Vellaisamy +3 more
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Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]
Journal of Chemical and Petroleum EngineeringThe Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad +2 more
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A Developed New Algorithm for Evaluating Adomian Polynomials
Computer Modeling in Engineering & Sciences, 2009 Adomian polynomials (AP's) are expressed in terms of new objects called reduced polynomials (RP's). These new objects, which carry two subscripts, are independent of the form of the nonlinear operator.
M. Azreg-Aïnou
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A convenient computational form for the Adomian polynomials
Journal of Mathematical Analysis and Applications, 1984 Recent important generalizations by G. Adomian (“Stochastic Systems”, Academic Press 1983) have extended the scope of his decomposition method for nonlinear stochastic operator equations (see also iterative method, inverse operator method, symmetrized ...
Rach, Randolph, Randolph Rach
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Reduced Polynomials and Their Generation in Adomian Decomposition Methods
Computer Modeling in Engineering & Sciences, 2010 Adomian polynomials are constituted of reduced polynomials and derivatives of nonlinear operator. The reduced polynomials are independent of the form of the nonlinear operator.
Jun-Sheng Duan, Ai-Ping Guo
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Information Sciences Letters, 2021 In this paper, we will apply the Adomian decomposition method (ADM) to three different examples of the Telegraph Equation with a nonlinear term by the two polynomials called Adomian polynomials and the new accelerated Adomian polynomials proposed by El ...
M. Abdelgaber, K. +3 more
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Numerical resolution of Emden's equation using Adomian polynomials [PDF]
International Journal of Numerical Methods for Heat & Fluid Flow, 2013 Purpose: In this paper the authors aim to show the advantages of using the decomposition method introduced by Adomian to solve Emden's equation, a classical non‐linear equation that appears in the study of the thermal behaviour of a spherical cloud and ...
Aznar Gregori, Fidel +4 more
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