Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method

被引：8

作者：

Singh, Randhir ^{[1
]}

Nelakanti, Gnaneshwar ^{[1
]}

Kumar, Jitendra ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

关键词：

BOUNDARY-VALUE-PROBLEMS; COLLOCATION METHOD; HAMMERSTEIN;

D O I：

10.1155/2014/150483

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We apply Adomian decomposition method (ADM) for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately. The approximations of the solution are obtained in the form of series with easily calculable components. Furthermore, we also discuss the convergence and error analysis of the ADM. Moreover, three numerical examples are included to demonstrate the accuracy and applicability of the method.

引用

页数：6

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