AN OPERATIONAL METHOD FOR THE NUMERICAL SOLUTION OF TWO DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS WITH AN ERROR ESTIMATION

被引：0

作者：

Rahimi, M. Y. ^{[1
]}

Shahmorad, S. ^{[1
]}

Talati, F. ^{[2
]}

Tari, A. ^{[3
]}

机构：

[1] Univ Tabriz, Dept Appl Math, Tabriz, Iran

[2] Univ Tabriz, Dept Mech Engn, Tabriz, Iran

[3] Shahed Univ, Dept Math, Tabriz, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2010年 / 36卷 / 02期

关键词：

Two dimensional linear Fredholm integral equations; operational Tau method; PARTIAL-DIFFERENTIAL EQUATIONS; TAU-METHOD; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We formulate the operational Tau method for the two dimensional linear Fredholm integral equations of the second kind. Some theoretical results are given to simplify application of the Tau method, and then existence and uniqueness of solution for these equations are investigated. We also estimate error of the proposed method and give some numerical examples to demonstrate its accuracy in finding solutions.

引用

页码：119 / 132

页数：14

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