CONVERGENCE ANALYSIS OF PRODUCT INTEGRATION METHOD FOR NONLINEAR WEAKLY SINGULAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

被引：0

作者：

Darania, Parviz ^{[1
,2
]}

Shali, Jafer Ahmadi ^{[3
]}

机构：

[1] Urmia Univ, Fac Math Sci, POB 165, Orumiyeh, Iran

[2] Univ Maragheh, Fac Sci, Dept Math, Maragheh, Iran

[3] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2015年 / 2卷 / 01期

关键词：

Volterra-Fredholm integral equations; Product integration method; Convergence analysis;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we studied the numerical solution of non-linear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.

引用

页码：57 / 69

页数：13

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