A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix

被引：26

作者：

Babolian, E. ^{[1
]}

Maleknejad, K. ^{[2
]}

Mordad, M. ^{[1
]}

Rahimi, B. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14778, Iran

[2] Iran Univ Sci & Technol Narmak, Dept Math, Tehran 1684613114, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 14期

关键词：

Two-dimensional Fredholm-Volterra integral equations; Block pulse functions; Operational matrix; 2ND KIND;

D O I：

10.1016/j.cam.2010.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the block pulse functions (BPFs) and their operational matrix are used to solve two-dimensional Fredholm-Volterra integral equations (F-VIE). This method converts F-VIE to systems of linear equations whose solutions are the coefficients of block pulse expansions of the solutions of F-VIE. Finally some numerical examples are presented to show the efficiency and accuracy of the method. (C) 2011 Published by Elsevier B.V.

引用

页码：3965 / 3971

页数：7

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