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A review of the Adomian decomposition method and its applications to fractional differential equations
In this article we review the Adomian decomposition method (ADM) and its modifications including different modified and parametrized recursion schemes, the multistage ADM for initial value problems
Solving New Fourth–Order Emden–Fowler-Type Equations by the Adomian Decomposition Method
In this article, we extend the second–order Emden–Fowler equation to three new fourth–order Emden–Fowler type equations. We show that the singular point at x = 0, and hence the shape factor, may
Analytic solution of nonlinear boundary-value problems in several dimensions by decomposition
Abstract Nonlinear partial differential equations are systematically solved by the decomposition method of G. Adomian for general boundary conditions described by boundary operator equations. Linear
A new definition of the Adomian polynomials
  • R. Rach
  • Mathematics
    Kybernetes
  • 17 September 2008
TLDR
The Adomian decompositions series and the series of Adomians polynomials are found to be a uniformly convergent series of analytic functions for the solution u and the nonlinear composite function f(u).
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