Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method

被引：275

作者：

Abbasbandy, S ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 145卷 / 2-3期

关键词：

Newton-Raphson method; Adomian decomposition method; nonlinear equations;

D O I：

10.1016/S0096-3003(03)00282-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some efficient numerical algorithms for solving nonlinear equations based on Newton-Raphson method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：887 / 893

页数：7

共 9 条

[1] CONVERGENCE OF ADOMIAN METHOD APPLIED TO NONLINEAR EQUATIONS [J].

ABBAOUI, K ;

CHERRUAULT, Y .

MATHEMATICAL AND COMPUTER MODELLING, 1994, 20 (09) :69-73

[2]

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

[3] ON THE SOLUTION OF ALGEBRAIC EQUATIONS BY THE DECOMPOSITION METHOD [J].

ADOMIAN, G ;

RACH, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 105 (01) :141-166

[4]

Adomian G., 1989, Nonlinear Stochastis System Theory and Applications to Physics

[5]

[Anonymous], NEWTONS METHOD HIGH

[6] Solution of nonlinear equations by modified adomian decomposition method [J].

Babolian, E ;

Biazar, J .

APPLIED MATHEMATICS AND COMPUTATION, 2002, 132 (01) :167-172

[7]

Householder A.S., 1970, The numerical treatment of a single nonlinear equation

[8]

Kantorovich LV., 1964, FUNCTIONAL ANAL NORM

[9] Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation [J].

So, Joseph W.-H. ;

Wu, Jianhong ;

Yang, Yuanjie .

Applied Mathematics and Computation (New York), 2000, 111 (01) :33-51

← 1 →