DECOMPOSITION METHODS - A NEW PROOF OF CONVERGENCE

被引：361

作者：

CHERRUAULT, Y

ADOMIAN, G

机构：

[1] University Paris VI-Medimat, 75270 Paris Cédex 06

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1993年 / 18卷 / 12期

关键词：

D O I：

10.1016/0895-7177(93)90233-O

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We propose a new convergence proof of Adomian's technique based on properties of convergent series. Then we deduce some results about the speed of convergence of this method allowing us to solve nonlinear functional equations.

引用

页码：103 / 106

页数：4

共 9 条

[1] AN EFFICIENT METHODOLOGY FOR THE PHYSICAL SCIENCES [J].

ADOMIAN, G ;

RACH, RC ;

MEYERS, RE .

KYBERNETES, 1991, 20 (07) :24-34

[2] AN ANALYTICAL SOLUTION OF THE STOCHASTIC NAVIER-STOKES SYSTEM [J].

ADOMIAN, G .

FOUNDATIONS OF PHYSICS, 1991, 21 (07) :831-843

[3]

ADOMIAN G, 1993, IN PRESS SOLVING FRO

[4]

Adomian G., 1989, NONLINEAR STOCHASTIC, DOI DOI 10.1007/978-94-009-2569-4

[5] CONVERGENCE OF ADOMIAN METHOD [J].

CHERRUAULT, Y .

KYBERNETES, 1989, 18 (02) :31-38

[6] NEW RESULTS FOR CONVERGENCE OF ADOMIAN METHOD APPLIED TO INTEGRAL-EQUATIONS [J].

CHERRUAULT, Y ;

SACCOMANDI, G ;

SOME, B .

MATHEMATICAL AND COMPUTER MODELLING, 1992, 16 (02) :85-93

[7] NEW DETERMINISTIC METHODS FOR GLOBAL OPTIMIZATION AND APPLICATIONS TO BIOMEDICINE [J].

CHERRUAULT, Y .

INTERNATIONAL JOURNAL OF BIO-MEDICAL COMPUTING, 1991, 27 (3-4) :215-229

[8]

GABET L, IN PRESS RAIRO M2 AN

[9]

[No title captured]

← 1 →