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Abbaoui, K. and Cherruault, Y. (1994) Convergence of Adomian’s Method Applied to Differential Equations. Mathematical and Computer Modelling, 28, 103-109.

has been cited by the following article:

• TITLE: Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems

  AUTHORS: Waleed Al-Hayani

  KEYWORDS: Adomian Decomposition Method, Adomian’s Polynomials, Tenth-Order Boundary Value Problems, Green’s Function

  JOURNAL NAME: Applied Mathematics, Vol.5 No.10, June 3, 2014

  ABSTRACT: In this paper, the Adomian decomposition method with Green’s function (Standard Adomian and Modified Technique) is applied to solve linear and nonlinear tenth-order boundary value problems with boundary conditions defined at any order derivatives. The numerical results obtained with a small amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the decomposition method is of high accuracy, more convenient and efficient for solving high-order boundary value problems.