COMPLEX B-SPLINE COLLOCATION METHOD FOR SOLVING WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND

被引：0

作者：

Ramezani, M. ^{[1
]}

Jafari, H. ^{[2
]}

Johnston, S. J. ^{[3
]}

Baleanu, D. ^{[4
]}

机构：

[1] Islamic Azad Univ, Parand Branch, Young Researchers & Elite Club, Tehran, Iran

[2] Univ Mazandaran, Dept Math, Babol Sar, Iran

[3] Univ S Africa, Dept Math Sci, POB 392, ZA-0003 Johannesburg, South Africa

[4] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 02期

关键词：

Volterra integral equation; complex B-spline; collocation method; NUMERICAL-SOLUTION;

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 propose a new collocation type method for solving Volterra integral equations of the second kind with weakly singular kernels. In this method we use the complex B-spline basics in collocation method for solving Volterra integral. We compare the results obtained by this method with exact solution. A few numerical examples are presented to demonstrate the effectiveness of the proposed method.

引用

页码：1091 / 1103

页数：13

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