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
收藏
页码：167 / 172
页数：6
相关论文
共 13 条
[1]   CONVERGENCE OF ADOMIAN METHOD APPLIED TO DIFFERENTIAL-EQUATIONS [J].
ABBAOUI, K ;
CHERRUAULT, Y .
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 [J].
ADOMIAN, G ;
SARAFYAN, D .
APPLIED MATHEMATICS AND COMPUTATION, 1981, 8 (02) :111-119
[5]   CONVERGENT SERIES SOLUTION OF NONLINEAR EQUATIONS [J].
ADOMIAN, G .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 11 (02) :225-230
[6]   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
[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 [J].
Babolian, E ;
Biazar, J .
APPLIED MATHEMATICS AND COMPUTATION, 2002, 130 (2-3) :383-387
[10]  
Bellman R., 1985, Partial Differential Equations, Dordrecht, The Netherland," ed
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