Solution of nonlinear equations by modified adomian decomposition method

被引：84

作者：

Babolian, E

Biazar, J

机构：

[1] University for Teacher Education, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 132卷 / 01期

关键词：

decomposition method; order of convergence;

D O I：

10.1016/S0096-3003(01)00184-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we modify the standard Adomian method for solution of the nonlinear equation f(x) = 0. Four examples are presented and compared using standard and modified Adomian methods. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：167 / 172

页数：6

共 13 条

[1] CONVERGENCE OF ADOMIAN METHOD APPLIED TO DIFFERENTIAL-EQUATIONS
ABBAOUI, K
CHERRUAULT, Y
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 28 (05) : 103 - 109
[2] ABBAOUI K, 1994, MATH COMPUT MODEL, V28, P103
[3] Adomian Adomian G. G., Solving Frontier Problems in Physics. The Decomposition Method
[4] NUMERICAL-SOLUTION OF DIFFERENTIAL-EQUATIONS IN THE DETERMINISTIC LIMIT OF STOCHASTIC-THEORY
ADOMIAN, G
SARAFYAN, D
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1981, 8 (02) : 111 - 119
[5] CONVERGENT SERIES SOLUTION OF NONLINEAR EQUATIONS
ADOMIAN, G
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 11 (02) : 225 - 230
[6] ON THE SOLUTION OF ALGEBRAIC EQUATIONS BY THE DECOMPOSITION METHOD
ADOMIAN, G
RACH, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 105 (01) : 141 - 166
[7] ADOMIAN G, 1983, J MATH ANAL APPL, V91
[8] Adomian G., 1989, Nonlinear Stochastis System Theory and Applications to Physics
[9] On the order of convergence of Adomian method
Babolian, E
Biazar, J
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 130 (2-3) : 383 - 387
[10] Bellman R., 1985, Partial Differential Equations, Dordrecht, The Netherland," ed

← 1 2 →