Numerical solution of linear Volterra integral equations system of the second kind

被引：30

作者：

Tahmasbi, Ali ^{[1
]}

Fard, Omid S. ^{[1
]}

机构：

[1] Damghan Univ Basic Sci, Sch Math & Comp Sci, Dept Appl Math, Damghan, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 201卷 / 1-2期

关键词：

linear Volterra integral equations system; power series method; numerical method;

D O I：

10.1016/j.amc.2007.12.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are several numerical approaches for solving linear Volterra integral equations system of the second kind. In this paper, we have presented a method for numerical solution of linear Volterra integral equations system based on the power series method, the major advantage of which is being derivative-free. Also, this method reproduces the analytical solution when the exact solutions are polynomial. The numerical results prove that the presented method is very effective and simple. The software used for the numerical calculations in this study was MATLAB (R) 7.4. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：547 / 552

页数：6

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