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

被引：271

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 50 条

[21] A NOTE ON STARTING THE NEWTON-RAPHSON METHOD
BEYER, WA
COMMUNICATIONS OF THE ACM, 1964, 7 (07) : 442 - 442
[22] Newton-Raphson method in complex form
LeNguyen, H
1996 IEEE TRANSMISSION AND DISTRIBUTION CONFERENCE PROCEEDINGS, 1996, : 591 - 595
[23] Historical development of the Newton-Raphson method
Ypma, TJ
SIAM REVIEW, 1995, 37 (04) : 531 - 551
[24] Newton-Raphson method in complex form
LeNguyen, H
IEEE TRANSACTIONS ON POWER SYSTEMS, 1997, 12 (03) : 1355 - 1359
[25] ERROR ANALYSIS FOR NEWTON-RAPHSON METHOD
LANCASTER, P
NUMERISCHE MATHEMATIK, 1966, 9 (01) : 55 - +
[26] Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method
Abbasbandy, S
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 431 - 438
[27] Equivalence of power method to Newton-Raphson's method
Ogun State Univ, Ago-Iwoye, Nigeria
Advances in Modelling and Analysis A, 1997, 32 (01): : 19 - 24
[28] Solution and sensitivity analysis of nonlinear equations using a hypercomplex-variable Newton-Raphson method
Aristizabal, Mauricio
Hernandez-Estrada, Jose L.
Garcia, Manuel
Millwater, Harry
APPLIED MATHEMATICS AND COMPUTATION, 2023, 451
[29] Newton-Raphson method and stability of nonlinear information methods of image reconstruction
Bajkova, A.T.
Izvestiya Vysshikh Uchebnykh Zavedenij. Radiofizika, 2000, 43 (10): : 895 - 908
[30] MODIFICATION TO NEWTON-RAPHSON METHOD FOR FITTING OF NONLINEAR FUNCTIONS BY LEAST SQUARES
STRAND, TG
BONHAM, RA
KOHL, DA
JOURNAL OF CHEMICAL PHYSICS, 1963, 39 (05): : 1307 - &

← 1 2 3 4 5 →