A novel method for nonlinear two-point boundary value problems: Combination of ADM and RKM
A novel method for nonlinear two-point boundary value problems: Combination of ADM and RKM
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DOI：
10.1016/j.amc.2010.11.020
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发表时间：
2011-01-01
影响因子：
4
通讯作者：
Cui, Minggen
中科院分区：
文献类型：
--
作者：
Geng, Fazhan;Cui, Minggen
提出了一种求解非线性两点边值问题的新方法。该方法是基于Adomian分解方法（ADM）和再生核方法（RKM）的组合。与标准ADM相比，该方法的一个主要优点是它可以避免在确定未知参数时不必要的计算。所提出的方法可以适用于奇异和非奇异边值问题。数值结果表明，该格式是求解非线性两点边值问题的有效和方便的格式。(C)2010年爱思唯尔公司All rights reserved.
In this paper, a novel method is proposed for solving nonlinear two-point boundary value problems (BVPs). This method is based on a combination of the Adomian decomposition method (ADM) and the reproducing kernel method (RKM). A major advantage of this method over standard ADM is that it can avoid unnecessary computation in determining the unknown parameters. The proposed method can be applied to singular and nonsingular BVPs. Numerical results obtained using the scheme presented here show that the numerical scheme is very effective and convenient for solving nonlinear two-point boundary value problems. (C) 2010 Elsevier Inc. All rights reserved.