Discrete Adomian Decomposition solution of Nonlinear Fredholm Integral Equation

被引：16

作者：

Behiry, S. H. ^{[1
]}

Abd-Elmonem, R. A. ^{[1
]}

Gomaa, A. M. ^{[1
]}

机构：

[1] Mansoura Univ, Math & Engn Phys Dept, Fac Engn, Mansoura, Egypt

来源：

AIN SHAMS ENGINEERING JOURNAL | 2010年 / 1卷 / 01期

关键词：

Numerical solution; Adomian Decomposition Method; Discrete Adomian Decomposition Method; Nonlinear Fredholm Integral Equation;

D O I：

10.1016/j.asej.2010.09.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In recent papers the solution of Linear and Nonlinear Fredholm Integral Equations was introduced using the Adomian Decomposition Method (ADM). For cases that evaluation of integrals analytically are impossible the decomposition method can not be applied. In this paper a discretized version of the Adomian Decomposition Method is introduced and this method is called Discrete Adomian Decomposition Method (DADM). DADM arises when the quadrature rules are used to approximate the definite integrals which can not be computed analytically. The DADM gives the numerical solution at nodes used in the quadrature rules. (C) 2010 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.

引用

页码：97 / 101

页数：5

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