A Modified Adomian Decomposition Method for Solving Higher-Order Singular Boundary Value Problems-Reference-Cited by-同舟云学术

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

Published:2010-12-01 Issue:12 Volume:65 Page:1093-1100
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Kim Weonbae¹,Chun Changbum²

Affiliation:

1. Department of Mathematics, Daejin University, Pocheon, Gyeonggi-do 487-711, Republic of Korea

2. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2010-1213/pdf

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