Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method

被引：41

作者：

Rabbani, M.

Maleknejad, K. ^{[1
]}

Aghazadeh, N.

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

[2] Islamic Azad Univ, Sari Branch, Sari, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 02期

关键词：

Taylor-series expansion; system of Volterra integral equation;

D O I：

10.1016/j.amc.2006.09.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An expansion method is used for treatment of second kind Volterra integral equations system. This method gives an analytic solution for the system. The method reduces the system of integral equations to a linear system of ordinary differential equations. After constructing boundary conditions, this system reduces to a system of equations that can be solved easily with any of the usual methods. Finally, for showing the efficiency of the method we use some numerical examples. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1143 / 1146

页数：4

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