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Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions
Journal article   Open access  Peer reviewed

Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions

Emad H. Aly, Abdelhalim Ebaid and Randolph Rach
Computers & mathematics with applications (1987), Vol.63(6), pp.1056-1065
01/03/2012
DOI: https://doi.org/10.1016/j.camwa.2011.12.010

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A new straightforward approach for solving ordinary and partial second-order boundary value problems with Neumann boundary conditions is introduced in this research. This approach depends mainly on the Adomian decomposition method with a new definition of the differential operator and its inverse, which has been modified for Neumann boundary conditions. The effectiveness of the proposed approach is verified by several linear and nonlinear examples. (c) 2011 Elsevier Ltd. All rights reserved.
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https://doi.org/10.1016/j.camwa.2011.12.010View
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