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

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• 作者：Emad H. Aly^a ; ¹ ; ^{emad-aly@hotmail.com} ; Abdelhalim Ebaid^b ; ^{halimgamil@yahoo.com} ; Randolph Rach^c
• 关键词：Adomian decomposition method ; Two-point boundary value problems ; Neumann boundary conditions
• 刊名：Computers and Mathematics with Applications
• 出版年：2012
• 期刊代码：37_08981221
• 类别：cp
• 出版时间：March, 2012
• 卷：63
• 期：6
• 页码：1056-1065
• 文件大小：266 K

摘要

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.