A new computational method for Volterra-Fredholm integral equations

被引：83

作者：

Maleknejad, K ^{[1
]}

Hadizadeh, M ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 16, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 09期

关键词：

Volterra-Fredholm integral equation; Adomian decomposition method; numerical treatment;

D O I：

10.1016/S0898-1221(99)00107-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this article is to demonstrate the use of the Adomian decomposition method for mixed nonlinear Volterra-Fredholm integral equations. A bound is also given for the Adomian decomposition series. Finally, numerical examples are presented to illustrate the implementation and accuracy of the decomposition method. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

收藏

页码：1 / 8

页数：8

相关论文

共 26 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] CONVERGENCE OF ADOMIAN METHOD APPLIED TO NONLINEAR EQUATIONS [J].

ABBAOUI, K ;

CHERRUAULT, Y .

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

[3] NEW IDEAS FOR PROVING CONVERGENCE OF DECOMPOSITION METHODS [J].

ABBAOUI, K ;

CHERRUAULT, Y .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (07) :103-108

[4]

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

[5] A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].

ADOMIAN, G .

MATHEMATICAL AND COMPUTER MODELLING, 1990, 13 (07) :17-43

[6] SOLUTION OF PHYSICAL PROBLEMS BY DECOMPOSITION [J].

ADOMIAN, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (9-10) :145-154

[7]

Adomian G., 1988, NONLINEAR STOCHASTIC

[8] ON THE NUMERICAL-SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL-EQUATIONS BY COLLOCATION METHODS [J].

BRUNNER, H .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (04) :987-1000

[9] CONVERGENCE OF ADOMIAN METHOD [J].

CHERRUAULT, Y .

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

[10] FURTHER REMARKS ON CONVERGENCE OF DECOMPOSITION METHOD [J].

CHERRUAULT, Y ;

ADOMIAN, G ;

ABBAOUI, K ;

RACH, R .

INTERNATIONAL JOURNAL OF BIO-MEDICAL COMPUTING, 1995, 38 (01) :89-93