A convenient technique for solving linear and nonlinear Abel integral equations by the Adomian decomposition method

被引：29

作者：

Bougoffa, Lazhar ^{[1
]}

Rach, Randolph C. ^{[1
]}

Mennouni, Abdelaziz ^{[1
,2
]}

机构：

[1] Al Imam Univ, Fac Sci, Dept Math, Riyadh 11623, Saudi Arabia

[2] Univ Bordj Bou Arreridj, Dept Math, Bordj Bou Arreridj 34000, Algeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

关键词：

Abel integral equations; Adomian decomposition method;

D O I：

10.1016/j.amc.2011.06.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, linear and nonlinear Abel integral equations are transformed in such a manner that the Adomian decomposition method can be applied. Some examples with closed-form solutions are studied in detail to further illustrate the proposed technique, and the results obtained indicate this approach is indeed practical and efficient. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1785 / 1793

页数：9

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