An efficient algorithm for the multivariable Adomian polynomials

In this article the sum of the series of multivariable Adomian polynomials is demonstrated to be identical to a rearrangement of the multivariable Taylor expansion of an analytic function of the decomposition series of solutions u 1, u 2, … , u m about the initial solution components u 1,0, u 2,0, …...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 217; no. 6; pp. 2456 - 2467
Main Author:	Duan, Jun-Sheng
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.11.2010 Elsevier
Subjects:	Acceleration of convergence Adomian decomposition method Adomian polynomials Algorithms Derivatives Difference and functional equations, recurrence relations Differential equation Differential equations Exact sciences and technology Functions of a complex variable Mathematical analysis Mathematical models Mathematics Matrices Matrix methods Multivariable Multivariable function Nonlinear operator Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use Multivariable function Adomian polynomials Adomian decomposition method Nonlinear operator Differential equation Polynomial Transcendental equation Convergence acceleration Recurrence relation Decomposition method Difference equation Parameterization Algorithm Non linear operator Non linear equation Series summation Numerical analysis Applied mathematics Analytical function
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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