Solution of a system of Volterra integral equations of the first kind by Adomian method

被引：67

作者：

Biazar, J

Babolian, E

Islam, R

机构：

[1] Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada

[2] Guilan Univ, Rasht, Iran

[3] Univ Teacher Educ, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 139卷 / 2-3期

关键词：

integral equation; decomposition method;

D O I：

10.1016/S0096-3003(02)00173-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider linear and non-linear systems of integral equations of the first kind. The problem of existence and uniqueness are considered. The Adomian decomposition method is being used to solve these linear and non-linear systems of Volterra integral equations of the first kind. Some examples are prepared to show the efficiency and simplicity of the method. (C) 2002 Published by Elsevier Science Inc.

引用

页码：249 / 258

页数：10

共 50 条

[41] Collocation-Variational Approaches to the Numerical Solution of Volterra Integral Equations of the First Kind
Bulatov, M. V.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2025, 65 (01) : 1 - 7
[42] Numerical Solution of Fredholm and Volterra Integral Equations of the First Kind Using Wavelets bases
Bahmanpour, Maryam
Araghi, Mohammad Ali Fariborzi
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 5 (04): : 337 - 345
[43] Solution of 2D Volterra-Fredholm Integral Equations of First Kind by using Discretization Method
Khan, Faheem
Yasmin, Summiya
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (09): : 1 - 16
[44] Existence and uniqueness of the solution of a system of integral equations of the first kind
Denisov, AM
DIFFERENTIAL EQUATIONS, 2003, 39 (09) : 1263 - 1270
[45] Existence and Uniqueness of the Solution of a System of Integral Equations of the First Kind
A. M. Denisov
Differential Equations, 2003, 39 : 1263 - 1270
[46] The Adomian decomposition method applied to the Fuzzy system of Fredholm integral equations of the second kind
Abbasbandy, S
Allahviranloo, T
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2006, 14 (01) : 101 - 110
[47] The resolution of non-linear integral equations of the first kind using the decompositional method of Adomian
Cherruault, Y
Seng, V
KYBERNETES, 1997, 26 (2-3) : 198 - &
[48] Adomian decomposition method for solving a class of nonlinear volterra integral equations
Shan, Rui
Wei, Jinxia
Liu, Wen
Yi, Mingxu
ICIC Express Letters, Part B: Applications, 2012, 3 (06): : 1623 - 1629
[49] A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind
Dastjerdi, H. Laeli
Shayanfard, F.
APPLIED NUMERICAL MATHEMATICS, 2021, 170 : 353 - 363
[50] To the theory of volterra integral equations of the first kind with discontinuous kernels
A. S. Apartsin
Computational Mathematics and Mathematical Physics, 2016, 56 : 810 - 825

← 1 2 3 4 5 →