A new modification of the Adomian decomposition method for linear and nonlinear operators

被引：246

作者：

Wazwaz, AM ^{[1
]}

El-Sayed, SM

机构：

[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA

[2] Benha Univ, Dept Math, Banha 13518, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 122卷 / 03期

关键词：

linear and nonlinear operators; Adomian decomposition method; Adomian polynomials;

D O I：

10.1016/S0096-3003(00)00060-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an efficient modification of the Adomian decomposition method that will facilitate the calculations. We then conduct a comparative study between the new modification and the modified decomposition method. The study is conducted through illustrative examples. The new modification introduces a promising tool for many linear and nonlinear models. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：393 / 405

页数：13

共 20 条

[1]

Adomian Adomian G. G., Solving Frontier Problems in Physics. The Decomposition Method

[2] A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].

ADOMIAN, G .

MATHEMATICAL AND COMPUTER MODELLING, 1990, 13 (07) :17-43

[3] ANALYTIC SOLUTION OF NONLINEAR BOUNDARY-VALUE-PROBLEMS IN SEVERAL DIMENSIONS BY DECOMPOSITION [J].

ADOMIAN, G ;

RACH, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 174 (01) :118-137

[4] EQUALITY OF PARTIAL SOLUTIONS IN THE DECOMPOSITION METHOD FOR LINEAR OR NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS [J].

ADOMIAN, G ;

RACH, R .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (12) :9-12

[5] NOISE TERMS IN DECOMPOSITION SOLUTION SERIES [J].

ADOMIAN, G ;

RACH, R .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1992, 24 (11) :61-64

[6]

Adomian G., 1986, Nonlinear stochastic operator equations

[7] A COMPARISON BETWEEN ADOMIAN DECOMPOSITION METHODS AND PERTURBATION TECHNIQUES FOR NONLINEAR RANDOM DIFFERENTIAL-EQUATIONS [J].

BELLOMO, N ;

MONACO, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 110 (02) :495-502

[8]

DATTA BK, 1993, INTRO PARTIAL DIFFER

[9]

Eugene Y., 1993, APPL MATH COMPUT, V56, P1

[10] ON THE ADOMIAN (DECOMPOSITION) METHOD AND COMPARISONS WITH PICARDS METHOD [J].

RACH, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 128 (02) :480-483

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