The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems

被引：17

作者：

Attili, BS ^{[1
]}

机构：

[1] UAEU, Dept Math & Comp Sci, Coll Sci, Al Ain, U Arab Emirates

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 02期

关键词：

D O I：

10.1016/j.amc.2004.10.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will consider the Adomian decomposition method for computing the eigenelements of Sturm-Liouville two point boundary value problem. The method proved to be very successful and powerful in computing such elements. Numerical examples showed the competitive nature of the method. Comparison with the results of others will also be presented. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：1306 / 1316

页数：11

共 12 条

[1] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544

[2]

Adomian G., 1994, SOLVING FRONTIER PRO

[3]

Attili BS, 1997, ARAB J SCI ENG, V22, P67

[4]

Bailey P. B., 1978, ACM Transactions on Mathematical Software, V4, P193, DOI 10.1145/355791.355792

[5] SLIGHTLY MODIFIED PRUFER TRANSFORMATION USEFUL FOR CALCULATING STURM-LIOUVILLE EIGENVALUES [J].

BAILEY, PB .

JOURNAL OF COMPUTATIONAL PHYSICS, 1978, 29 (02) :306-310

[6]

Baily P. B., 1991, RESULTS MATH, V20, P391

[7]

Baily PB, 1978, SAND772044 SAND LAB

[8] Application of differential transformation to eigenvalue problems [J].

Chen, CK ;

Ho, SH .

APPLIED MATHEMATICS AND COMPUTATION, 1996, 79 (2-3) :173-188

[9]

Hassan IHAH, 2002, APPL MATH COMPUT, V127, P1, DOI 10.1016/S0096-3003(00)00123-5

[10]

NAIMARK M. A., 1968, Linear Differential Operators, VII

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