A Modified Adomian Decomposition Method for Solving Higher-Order Singular Boundary Value Problems

被引：13

作者：

Kim, Weonbae ^{[2
]}

Chun, Changbum ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Daejin Univ, Dept Math, Pochon 487711, Gyeonggi Do, South Korea

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2010年 / 65卷 / 12期

关键词：

Adomian Decomposition Method; Singular Boundary Value Problems; Higher-Order Ordinary Differential Equation; Modified Adomian Decomposition Method; He's polynomials; Homotopy Perturbation Method; HOMOTOPY PERTURBATION METHOD; CONVERGENCE; ALGORITHM; EQUATIONS;

D O I：

10.1515/zna-2010-1213

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, we present a reliable modification of the Adomian decomposition method for solving higher-order singular boundary value problems. He's polynomials are also used to overcome the complex and difficult calculation of Adomian polynomials occurring in the application of the Adomian decomposition method. Numerical examples are given to illustrate the accuracy and efficiency of the presented method, revealing its reliability and applicability in handling the problems with singular nature.

引用

页码：1093 / 1100

页数：8

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